diff --git a/core/include/Variable/VariableController.h b/core/include/Variable/VariableController.h
index 3350511..1fd9c9c 100644
--- a/core/include/Variable/VariableController.h
+++ b/core/include/Variable/VariableController.h
@@ -111,11 +111,15 @@ public slots:
     /// Cancel the current request for the variable
     void onAbortProgressRequested(std::shared_ptr<Variable> variable);
 
-    /// synchronization group methods
+    // synchronization group methods
     void onAddSynchronizationGroupId(QUuid synchronizationGroupId);
     void onRemoveSynchronizationGroupId(QUuid synchronizationGroupId);
     void onAddSynchronized(std::shared_ptr<Variable> variable, QUuid synchronizationGroupId);
 
+    /// Desynchronizes the variable of the group whose identifier is passed in parameter
+    /// @remarks the method does nothing if the variable is not part of the group
+    void desynchronize(std::shared_ptr<Variable> variable, QUuid synchronizationGroupId);
+
     void initialize();
     void finalize();
 
diff --git a/core/src/Variable/VariableController.cpp b/core/src/Variable/VariableController.cpp
index 50b88cc..3aa437b 100644
--- a/core/src/Variable/VariableController.cpp
+++ b/core/src/Variable/VariableController.cpp
@@ -389,6 +389,36 @@ void VariableController::onAddSynchronized(std::shared_ptr<Variable> variable,
     }
 }
 
+void VariableController::desynchronize(std::shared_ptr<Variable> variable,
+                                       QUuid synchronizationGroupId)
+{
+    // Gets variable id
+    auto variableIt = impl->m_VariableToIdentifierMap.find(variable);
+    if (variableIt == impl->m_VariableToIdentifierMap.cend()) {
+        qCCritical(LOG_VariableController())
+            << tr("Can't desynchronize variable %1: variable identifier not found")
+                   .arg(variable->name());
+        return;
+    }
+
+    // Gets synchronization group
+    auto groupIt = impl->m_GroupIdToVariableSynchronizationGroupMap.find(synchronizationGroupId);
+    if (groupIt == impl->m_GroupIdToVariableSynchronizationGroupMap.cend()) {
+        qCCritical(LOG_VariableController())
+            << tr("Can't desynchronize variable %1: unknown synchronization group")
+                   .arg(variable->name());
+        return;
+    }
+
+    auto variableId = variableIt->second;
+
+    // Removes variable from synchronization group
+    auto synchronizationGroup = groupIt->second;
+    synchronizationGroup->removeVariableId(variableId);
+
+    // Removes link between variable and synchronization group
+    impl->m_VariableIdGroupIdMap.erase(variableId);
+}
 
 void VariableController::onRequestDataLoading(QVector<std::shared_ptr<Variable> > variables,
                                               const SqpRange &range, const SqpRange &oldRange,
diff --git a/gui/include/Visualization/VisualizationGraphWidget.h b/gui/include/Visualization/VisualizationGraphWidget.h
index 3d2892f..5b7b250 100644
--- a/gui/include/Visualization/VisualizationGraphWidget.h
+++ b/gui/include/Visualization/VisualizationGraphWidget.h
@@ -56,9 +56,13 @@ signals:
     void requestDataLoading(QVector<std::shared_ptr<Variable> > variable, const SqpRange &range,
                             const SqpRange &oldRange, bool synchronise);
 
+    /// Signal emitted when the variable is about to be removed from the graph
+    void variableAboutToBeRemoved(std::shared_ptr<Variable> var);
+    /// Signal emitted when the variable has been added to the graph
     void variableAdded(std::shared_ptr<Variable> var);
 
 protected:
+    void closeEvent(QCloseEvent *event) override;
     void enterEvent(QEvent *event) override;
     void leaveEvent(QEvent *event) override;
 
diff --git a/gui/include/Visualization/VisualizationTabWidget.h b/gui/include/Visualization/VisualizationTabWidget.h
index ca9b4c8..c3623e2 100644
--- a/gui/include/Visualization/VisualizationTabWidget.h
+++ b/gui/include/Visualization/VisualizationTabWidget.h
@@ -41,6 +41,9 @@ public:
     bool contains(const Variable &variable) const override;
     QString name() const override;
 
+protected:
+    void closeEvent(QCloseEvent *event) override;
+
 private:
     /// @return the layout of tab in which zones are added
     QLayout &tabLayout() const noexcept;
diff --git a/gui/include/Visualization/VisualizationWidget.h b/gui/include/Visualization/VisualizationWidget.h
index 2d89820..3310990 100644
--- a/gui/include/Visualization/VisualizationWidget.h
+++ b/gui/include/Visualization/VisualizationWidget.h
@@ -44,6 +44,9 @@ public slots:
 
     void onRangeChanged(std::shared_ptr<Variable> variable, const SqpRange &range) noexcept;
 
+protected:
+    void closeEvent(QCloseEvent *event) override;
+
 private:
     Ui::VisualizationWidget *ui;
 };
diff --git a/gui/include/Visualization/VisualizationZoneWidget.h b/gui/include/Visualization/VisualizationZoneWidget.h
index 6518706..02aa6ba 100644
--- a/gui/include/Visualization/VisualizationZoneWidget.h
+++ b/gui/include/Visualization/VisualizationZoneWidget.h
@@ -42,6 +42,9 @@ public:
     bool contains(const Variable &variable) const override;
     QString name() const override;
 
+protected:
+    void closeEvent(QCloseEvent *event) override;
+
 private:
     Ui::VisualizationZoneWidget *ui;
 
@@ -50,6 +53,8 @@ private:
 
 private slots:
     void onVariableAdded(std::shared_ptr<Variable> variable);
+    /// Slot called when a variable is about to be removed from a graph contained in the zone
+    void onVariableAboutToBeRemoved(std::shared_ptr<Variable> variable);
 };
 
 #endif // SCIQLOP_VISUALIZATIONZONEWIDGET_H
diff --git a/gui/include/Visualization/operations/FindVariableOperation.h b/gui/include/Visualization/operations/FindVariableOperation.h
new file mode 100644
index 0000000..afad39e
--- /dev/null
+++ b/gui/include/Visualization/operations/FindVariableOperation.h
@@ -0,0 +1,42 @@
+#ifndef SCIQLOP_FINDVARIABLEOPERATION_H
+#define SCIQLOP_FINDVARIABLEOPERATION_H
+
+#include "Visualization/IVisualizationWidgetVisitor.h"
+
+#include <Common/spimpl.h>
+
+#include <set>
+
+class IVisualizationWidget;
+class Variable;
+
+/**
+ * @brief The FindVariableOperation class defines an operation that traverses all of visualization
+ * widgets to determine which ones contain the variable passed as parameter. The result of the
+ * operation is the list of widgets that contain the variable.
+ */
+class FindVariableOperation : public IVisualizationWidgetVisitor {
+public:
+    /**
+     * Ctor
+     * @param variable the variable to find
+     */
+    explicit FindVariableOperation(std::shared_ptr<Variable> variable);
+
+    void visitEnter(VisualizationWidget *widget) override final;
+    void visitLeave(VisualizationWidget *widget) override final;
+    void visitEnter(VisualizationTabWidget *tabWidget) override final;
+    void visitLeave(VisualizationTabWidget *tabWidget) override final;
+    void visitEnter(VisualizationZoneWidget *zoneWidget) override final;
+    void visitLeave(VisualizationZoneWidget *zoneWidget) override final;
+    void visit(VisualizationGraphWidget *graphWidget) override final;
+
+    /// @return the widgets that contain the variable
+    std::set<IVisualizationWidget *> result() const noexcept;
+
+private:
+    class FindVariableOperationPrivate;
+    spimpl::unique_impl_ptr<FindVariableOperationPrivate> impl;
+};
+
+#endif // SCIQLOP_FINDVARIABLEOPERATION_H
diff --git a/gui/include/Visualization/operations/GenerateVariableMenuOperation.h b/gui/include/Visualization/operations/GenerateVariableMenuOperation.h
index 6849015..53475ba 100644
--- a/gui/include/Visualization/operations/GenerateVariableMenuOperation.h
+++ b/gui/include/Visualization/operations/GenerateVariableMenuOperation.h
@@ -7,7 +7,10 @@
 
 #include <QLoggingCategory>
 
+#include <set>
+
 class QMenu;
+class IVisualizationWidget;
 class Variable;
 
 Q_DECLARE_LOGGING_CATEGORY(LOG_GenerateVariableMenuOperation)
@@ -23,8 +26,11 @@ public:
      * Ctor
      * @param menu the menu to which to attach the generated menu
      * @param variable the variable for which to generate the menu
+     * @param variableContainers the containers that already contain the variable for which to
+     * generate the menu
      */
-    explicit GenerateVariableMenuOperation(QMenu *menu, std::shared_ptr<Variable> variable);
+    explicit GenerateVariableMenuOperation(QMenu *menu, std::shared_ptr<Variable> variable,
+                                           std::set<IVisualizationWidget *> variableContainers);
 
     void visitEnter(VisualizationWidget *widget) override final;
     void visitLeave(VisualizationWidget *widget) override final;
diff --git a/gui/meson.build b/gui/meson.build
index a8ece56..903a518 100644
--- a/gui/meson.build
+++ b/gui/meson.build
@@ -54,6 +54,7 @@ gui_sources = [
   'src/Visualization/VisualizationZoneWidget.cpp',
   'src/Visualization/qcustomplot.cpp',
   'src/Visualization/QCustomPlotSynchronizer.cpp',
+  'src/Visualization/operations/FindVariableOperation.cpp',
   'src/Visualization/operations/GenerateVariableMenuOperation.cpp',
   'src/Visualization/operations/MenuBuilder.cpp',
   'src/Visualization/operations/RemoveVariableOperation.cpp',
diff --git a/gui/src/Visualization/VisualizationGraphWidget.cpp b/gui/src/Visualization/VisualizationGraphWidget.cpp
index b7ae3c0..fc99f91 100644
--- a/gui/src/Visualization/VisualizationGraphWidget.cpp
+++ b/gui/src/Visualization/VisualizationGraphWidget.cpp
@@ -138,6 +138,8 @@ void VisualizationGraphWidget::removeVariable(std::shared_ptr<Variable> variable
     // - is no longer referenced in the map
     auto variableIt = impl->m_VariableToPlotMultiMap.find(variable);
     if (variableIt != impl->m_VariableToPlotMultiMap.cend()) {
+        emit variableAboutToBeRemoved(variable);
+
         auto &plottablesMap = variableIt->second;
 
         for (auto plottableIt = plottablesMap.cbegin(), plottableEnd = plottablesMap.cend();
@@ -218,6 +220,16 @@ QString VisualizationGraphWidget::name() const
     return impl->m_Name;
 }
 
+void VisualizationGraphWidget::closeEvent(QCloseEvent *event)
+{
+    Q_UNUSED(event);
+
+    // Prevents that all variables will be removed from graph when it will be closed
+    for (auto &variableEntry : impl->m_VariableToPlotMultiMap) {
+        emit variableAboutToBeRemoved(variableEntry.first);
+    }
+}
+
 void VisualizationGraphWidget::enterEvent(QEvent *event)
 {
     Q_UNUSED(event);
diff --git a/gui/src/Visualization/VisualizationTabWidget.cpp b/gui/src/Visualization/VisualizationTabWidget.cpp
index f516cbb..84751e9 100644
--- a/gui/src/Visualization/VisualizationTabWidget.cpp
+++ b/gui/src/Visualization/VisualizationTabWidget.cpp
@@ -22,6 +22,24 @@ QString defaultZoneName(const QLayout &layout)
     return QObject::tr("Zone %1").arg(count + 1);
 }
 
+/**
+ * Applies a function to all zones of the tab represented by its layout
+ * @param layout the layout that contains zones
+ * @param fun the function to apply to each zone
+ */
+template <typename Fun>
+void processZones(QLayout &layout, Fun fun)
+{
+    for (auto i = 0; i < layout.count(); ++i) {
+        if (auto item = layout.itemAt(i)) {
+            if (auto visualizationZoneWidget
+                = dynamic_cast<VisualizationZoneWidget *>(item->widget())) {
+                fun(*visualizationZoneWidget);
+            }
+        }
+    }
+}
+
 } // namespace
 
 struct VisualizationTabWidget::VisualizationTabWidgetPrivate {
@@ -67,17 +85,10 @@ void VisualizationTabWidget::accept(IVisualizationWidgetVisitor *visitor)
     if (visitor) {
         visitor->visitEnter(this);
 
-        // Apply visitor to zone children
-        auto &layout = tabLayout();
-        for (auto i = 0; i < layout.count(); ++i) {
-            if (auto item = layout.itemAt(i)) {
-                // Widgets different from zones are not visited (no action)
-                if (auto visualizationZoneWidget
-                    = dynamic_cast<VisualizationZoneWidget *>(item->widget())) {
-                    visualizationZoneWidget->accept(visitor);
-                }
-            }
-        }
+        // Apply visitor to zone children: widgets different from zones are not visited (no action)
+        processZones(tabLayout(), [visitor](VisualizationZoneWidget &zoneWidget) {
+            zoneWidget.accept(visitor);
+        });
 
         visitor->visitLeave(this);
     }
@@ -104,6 +115,14 @@ QString VisualizationTabWidget::name() const
     return impl->m_Name;
 }
 
+void VisualizationTabWidget::closeEvent(QCloseEvent *event)
+{
+    // Closes zones in the tab
+    processZones(tabLayout(), [](VisualizationZoneWidget &zoneWidget) { zoneWidget.close(); });
+
+    QWidget::closeEvent(event);
+}
+
 QLayout &VisualizationTabWidget::tabLayout() const noexcept
 {
     return *ui->scrollAreaWidgetContents->layout();
diff --git a/gui/src/Visualization/VisualizationWidget.cpp b/gui/src/Visualization/VisualizationWidget.cpp
index 7708ca1..b215461 100644
--- a/gui/src/Visualization/VisualizationWidget.cpp
+++ b/gui/src/Visualization/VisualizationWidget.cpp
@@ -3,6 +3,7 @@
 #include "Visualization/VisualizationGraphWidget.h"
 #include "Visualization/VisualizationTabWidget.h"
 #include "Visualization/VisualizationZoneWidget.h"
+#include "Visualization/operations/FindVariableOperation.h"
 #include "Visualization/operations/GenerateVariableMenuOperation.h"
 #include "Visualization/operations/RemoveVariableOperation.h"
 #include "Visualization/operations/RescaleAxeOperation.h"
@@ -120,8 +121,14 @@ void VisualizationWidget::attachVariableMenu(
     // Menu is generated only if there is a single variable
     if (variables.size() == 1) {
         if (auto variable = variables.first()) {
+            // Gets the containers of the variable
+            FindVariableOperation findVariableOperation{variable};
+            accept(&findVariableOperation);
+            auto variableContainers = findVariableOperation.result();
+
             // Generates the actions that make it possible to visualize the variable
-            auto generateVariableMenuOperation = GenerateVariableMenuOperation{menu, variable};
+            GenerateVariableMenuOperation generateVariableMenuOperation{
+                menu, variable, std::move(variableContainers)};
             accept(&generateVariableMenuOperation);
         }
         else {
@@ -150,3 +157,16 @@ void VisualizationWidget::onRangeChanged(std::shared_ptr<Variable> variable,
     auto rescaleVariableOperation = RescaleAxeOperation{variable, range};
     accept(&rescaleVariableOperation);
 }
+
+void VisualizationWidget::closeEvent(QCloseEvent *event)
+{
+    // Closes tabs in the widget
+    for (auto i = 0; i < ui->tabWidget->count(); ++i) {
+        if (auto visualizationTabWidget
+            = dynamic_cast<VisualizationTabWidget *>(ui->tabWidget->widget(i))) {
+            visualizationTabWidget->close();
+        }
+    }
+
+    QWidget::closeEvent(event);
+}
diff --git a/gui/src/Visualization/VisualizationZoneWidget.cpp b/gui/src/Visualization/VisualizationZoneWidget.cpp
index cb254e2..aacba29 100644
--- a/gui/src/Visualization/VisualizationZoneWidget.cpp
+++ b/gui/src/Visualization/VisualizationZoneWidget.cpp
@@ -34,6 +34,24 @@ QString defaultGraphName(const QLayout &layout)
     return QObject::tr("Graph %1").arg(count + 1);
 }
 
+/**
+ * Applies a function to all graphs of the zone represented by its layout
+ * @param layout the layout that contains graphs
+ * @param fun the function to apply to each graph
+ */
+template <typename Fun>
+void processGraphs(QLayout &layout, Fun fun)
+{
+    for (auto i = 0; i < layout.count(); ++i) {
+        if (auto item = layout.itemAt(i)) {
+            if (auto visualizationGraphWidget
+                = dynamic_cast<VisualizationGraphWidget *>(item->widget())) {
+                fun(*visualizationGraphWidget);
+            }
+        }
+    }
+}
+
 } // namespace
 
 struct VisualizationZoneWidget::VisualizationZoneWidgetPrivate {
@@ -177,6 +195,8 @@ VisualizationGraphWidget *VisualizationZoneWidget::createGraph(std::shared_ptr<V
     connect(graphWidget, &VisualizationGraphWidget::synchronize, synchronizeZoneWidget);
     connect(graphWidget, &VisualizationGraphWidget::variableAdded, this,
             &VisualizationZoneWidget::onVariableAdded);
+    connect(graphWidget, &VisualizationGraphWidget::variableAboutToBeRemoved, this,
+            &VisualizationZoneWidget::onVariableAboutToBeRemoved);
 
     auto range = SqpRange{};
 
@@ -223,17 +243,11 @@ void VisualizationZoneWidget::accept(IVisualizationWidgetVisitor *visitor)
     if (visitor) {
         visitor->visitEnter(this);
 
-        // Apply visitor to graph children
-        auto layout = ui->visualizationZoneFrame->layout();
-        for (auto i = 0; i < layout->count(); ++i) {
-            if (auto item = layout->itemAt(i)) {
-                // Widgets different from graphs are not visited (no action)
-                if (auto visualizationGraphWidget
-                    = dynamic_cast<VisualizationGraphWidget *>(item->widget())) {
-                    visualizationGraphWidget->accept(visitor);
-                }
-            }
-        }
+        // Apply visitor to graph children: widgets different from graphs are not visited (no
+        // action)
+        processGraphs(
+            *ui->visualizationZoneFrame->layout(),
+            [visitor](VisualizationGraphWidget &graphWidget) { graphWidget.accept(visitor); });
 
         visitor->visitLeave(this);
     }
@@ -260,9 +274,29 @@ QString VisualizationZoneWidget::name() const
     return ui->zoneNameLabel->text();
 }
 
+void VisualizationZoneWidget::closeEvent(QCloseEvent *event)
+{
+    // Closes graphs in the zone
+    processGraphs(*ui->visualizationZoneFrame->layout(),
+                  [](VisualizationGraphWidget &graphWidget) { graphWidget.close(); });
+
+    // Delete synchronization group from variable controller
+    QMetaObject::invokeMethod(&sqpApp->variableController(), "onRemoveSynchronizationGroupId",
+                              Qt::QueuedConnection, Q_ARG(QUuid, impl->m_SynchronisationGroupId));
+
+    QWidget::closeEvent(event);
+}
+
 void VisualizationZoneWidget::onVariableAdded(std::shared_ptr<Variable> variable)
 {
     QMetaObject::invokeMethod(&sqpApp->variableController(), "onAddSynchronized",
                               Qt::QueuedConnection, Q_ARG(std::shared_ptr<Variable>, variable),
                               Q_ARG(QUuid, impl->m_SynchronisationGroupId));
 }
+
+void VisualizationZoneWidget::onVariableAboutToBeRemoved(std::shared_ptr<Variable> variable)
+{
+    QMetaObject::invokeMethod(&sqpApp->variableController(), "desynchronize", Qt::QueuedConnection,
+                              Q_ARG(std::shared_ptr<Variable>, variable),
+                              Q_ARG(QUuid, impl->m_SynchronisationGroupId));
+}
diff --git a/gui/src/Visualization/operations/FindVariableOperation.cpp b/gui/src/Visualization/operations/FindVariableOperation.cpp
new file mode 100644
index 0000000..eeb4f69
--- /dev/null
+++ b/gui/src/Visualization/operations/FindVariableOperation.cpp
@@ -0,0 +1,72 @@
+#include "Visualization/operations/FindVariableOperation.h"
+
+#include "Visualization/VisualizationGraphWidget.h"
+#include "Visualization/VisualizationTabWidget.h"
+#include "Visualization/VisualizationWidget.h"
+#include "Visualization/VisualizationZoneWidget.h"
+
+#include <Variable/Variable.h>
+
+struct FindVariableOperation::FindVariableOperationPrivate {
+    explicit FindVariableOperationPrivate(std::shared_ptr<Variable> variable) : m_Variable{variable}
+    {
+    }
+
+    void visit(IVisualizationWidget *widget)
+    {
+        if (m_Variable && widget && widget->contains(*m_Variable)) {
+            m_Containers.insert(widget);
+        }
+    }
+
+    std::shared_ptr<Variable> m_Variable;          ///< Variable to find
+    std::set<IVisualizationWidget *> m_Containers; ///< Containers found for the variable
+};
+
+FindVariableOperation::FindVariableOperation(std::shared_ptr<Variable> variable)
+        : impl{spimpl::make_unique_impl<FindVariableOperationPrivate>(variable)}
+{
+}
+
+void FindVariableOperation::visitEnter(VisualizationWidget *widget)
+{
+    impl->visit(widget);
+}
+
+void FindVariableOperation::visitLeave(VisualizationWidget *widget)
+{
+    // Does nothing
+    Q_UNUSED(widget);
+}
+
+void FindVariableOperation::visitEnter(VisualizationTabWidget *tabWidget)
+{
+    impl->visit(tabWidget);
+}
+
+void FindVariableOperation::visitLeave(VisualizationTabWidget *tabWidget)
+{
+    // Does nothing
+    Q_UNUSED(tabWidget);
+}
+
+void FindVariableOperation::visitEnter(VisualizationZoneWidget *zoneWidget)
+{
+    impl->visit(zoneWidget);
+}
+
+void FindVariableOperation::visitLeave(VisualizationZoneWidget *zoneWidget)
+{
+    // Does nothing
+    Q_UNUSED(zoneWidget);
+}
+
+void FindVariableOperation::visit(VisualizationGraphWidget *graphWidget)
+{
+    impl->visit(graphWidget);
+}
+
+std::set<IVisualizationWidget *> FindVariableOperation::result() const noexcept
+{
+    return impl->m_Containers;
+}
diff --git a/gui/src/Visualization/operations/GenerateVariableMenuOperation.cpp b/gui/src/Visualization/operations/GenerateVariableMenuOperation.cpp
index f9f4d37..e6bb455 100644
--- a/gui/src/Visualization/operations/GenerateVariableMenuOperation.cpp
+++ b/gui/src/Visualization/operations/GenerateVariableMenuOperation.cpp
@@ -13,8 +13,13 @@
 Q_LOGGING_CATEGORY(LOG_GenerateVariableMenuOperation, "GenerateVariableMenuOperation")
 
 struct GenerateVariableMenuOperation::GenerateVariableMenuOperationPrivate {
-    explicit GenerateVariableMenuOperationPrivate(QMenu *menu, std::shared_ptr<Variable> variable)
-            : m_Variable{variable}, m_PlotMenuBuilder{menu}, m_UnplotMenuBuilder{menu}
+    explicit GenerateVariableMenuOperationPrivate(
+        QMenu *menu, std::shared_ptr<Variable> variable,
+        std::set<IVisualizationWidget *> variableContainers)
+            : m_Variable{variable},
+              m_PlotMenuBuilder{menu},
+              m_UnplotMenuBuilder{menu},
+              m_VariableContainers{std::move(variableContainers)}
     {
     }
 
@@ -47,7 +52,7 @@ struct GenerateVariableMenuOperation::GenerateVariableMenuOperationPrivate {
     void visitNodeLeavePlot(const IVisualizationWidget &container, const QString &actionName,
                             ActionFun actionFunction)
     {
-        if (m_Variable && container.canDrop(*m_Variable)) {
+        if (isValidContainer(container)) {
             m_PlotMenuBuilder.addSeparator();
             m_PlotMenuBuilder.addAction(actionName, actionFunction);
         }
@@ -66,28 +71,39 @@ struct GenerateVariableMenuOperation::GenerateVariableMenuOperationPrivate {
     void visitLeafPlot(const IVisualizationWidget &container, const QString &actionName,
                        ActionFun actionFunction)
     {
-        if (m_Variable && container.canDrop(*m_Variable)) {
+        if (isValidContainer(container)) {
             m_PlotMenuBuilder.addAction(actionName, actionFunction);
         }
     }
 
     template <typename ActionFun>
-    void visitLeafUnplot(const IVisualizationWidget &container, const QString &actionName,
+    void visitLeafUnplot(IVisualizationWidget *container, const QString &actionName,
                          ActionFun actionFunction)
     {
-        if (m_Variable && container.contains(*m_Variable)) {
+        // If the container contains the variable, we generate 'unplot' action
+        if (m_VariableContainers.count(container) == 1) {
             m_UnplotMenuBuilder.addAction(actionName, actionFunction);
         }
     }
 
+    bool isValidContainer(const IVisualizationWidget &container) const noexcept
+    {
+        // A container is valid if it can contain the variable and if the variable is not already
+        // contained in another container
+        return m_Variable && m_VariableContainers.size() == 0 && container.canDrop(*m_Variable);
+    }
+
     std::shared_ptr<Variable> m_Variable;
+    std::set<IVisualizationWidget *> m_VariableContainers;
     MenuBuilder m_PlotMenuBuilder;   ///< Builder for the 'Plot' menu
     MenuBuilder m_UnplotMenuBuilder; ///< Builder for the 'Unplot' menu
 };
 
-GenerateVariableMenuOperation::GenerateVariableMenuOperation(QMenu *menu,
-                                                             std::shared_ptr<Variable> variable)
-        : impl{spimpl::make_unique_impl<GenerateVariableMenuOperationPrivate>(menu, variable)}
+GenerateVariableMenuOperation::GenerateVariableMenuOperation(
+    QMenu *menu, std::shared_ptr<Variable> variable,
+    std::set<IVisualizationWidget *> variableContainers)
+        : impl{spimpl::make_unique_impl<GenerateVariableMenuOperationPrivate>(
+              menu, variable, std::move(variableContainers))}
 {
 }
 
@@ -155,7 +171,6 @@ void GenerateVariableMenuOperation::visitEnter(VisualizationZoneWidget *zoneWidg
 
 void GenerateVariableMenuOperation::visitLeave(VisualizationZoneWidget *zoneWidget)
 {
-    qCCritical(LOG_GenerateVariableMenuOperation(), "Open in a new graph DETECTED !!");
     if (zoneWidget) {
         // 'Plot' menu
         impl->visitNodeLeavePlot(
@@ -187,7 +202,7 @@ void GenerateVariableMenuOperation::visit(VisualizationGraphWidget *graphWidget)
                             });
 
         // 'Unplot' menu
-        impl->visitLeafUnplot(*graphWidget, QObject::tr("Remove from %1").arg(graphWidget->name()),
+        impl->visitLeafUnplot(graphWidget, QObject::tr("Remove from %1").arg(graphWidget->name()),
                               [ varW = std::weak_ptr<Variable>{impl->m_Variable}, graphWidget ]() {
                                   if (auto var = varW.lock()) {
                                       graphWidget->removeVariable(var);