diff --git a/python/gui/auto_generated/processing/models/qgsmodelgraphicsscene.sip.in b/python/gui/auto_generated/processing/models/qgsmodelgraphicsscene.sip.in
index 19753616008..2954f71db46 100644
--- a/python/gui/auto_generated/processing/models/qgsmodelgraphicsscene.sip.in
+++ b/python/gui/auto_generated/processing/models/qgsmodelgraphicsscene.sip.in
@@ -88,6 +88,12 @@ Emitted when a change in the model requires a full rebuild of the scene.
 Emitted whenever a component of the model is changed.
 %End
 
+  protected:
+
+    virtual QgsModelComponentGraphicItem *createParameterGraphicItem( QgsProcessingModelParameter *param ) const /Factory/;
+    virtual QgsModelComponentGraphicItem *createChildAlgGraphicItem( QgsProcessingModelChildAlgorithm *child ) const  /Factory/;
+    virtual QgsModelComponentGraphicItem *createOutputGraphicItem( QgsProcessingModelOutput *output ) const /Factory/;
+
 };
 
 
diff --git a/src/gui/processing/models/qgsmodelgraphicsscene.cpp b/src/gui/processing/models/qgsmodelgraphicsscene.cpp
index d352f9bed84..23eca68e233 100644
--- a/src/gui/processing/models/qgsmodelgraphicsscene.cpp
+++ b/src/gui/processing/models/qgsmodelgraphicsscene.cpp
@@ -14,6 +14,10 @@
  ***************************************************************************/
 
 #include "qgsmodelgraphicsscene.h"
+#include "qgsprocessingmodelchildparametersource.h"
+#include "qgsprocessingmodelalgorithm.h"
+#include "qgsmodelcomponentgraphicitem.h"
+#include "qgsmodelarrowitem.h"
 #include <QGraphicsSceneMouseEvent>
 
 ///@cond NOT_STABLE
@@ -39,5 +43,191 @@ void QgsModelGraphicsScene::mousePressEvent( QGraphicsSceneMouseEvent *event )
   QGraphicsScene::mousePressEvent( event );
 }
 
+QgsModelComponentGraphicItem *QgsModelGraphicsScene::createParameterGraphicItem( QgsProcessingModelParameter *param ) const
+{
+  return new QgsModelParameterGraphicItem( param, mModel, nullptr );
+}
+
+QgsModelComponentGraphicItem *QgsModelGraphicsScene::createChildAlgGraphicItem( QgsProcessingModelChildAlgorithm *child ) const
+{
+  return new QgsModelChildAlgorithmGraphicItem( child, mModel, nullptr );
+}
+
+QgsModelComponentGraphicItem *QgsModelGraphicsScene::createOutputGraphicItem( QgsProcessingModelOutput *output ) const
+{
+  return new QgsModelOutputGraphicItem( output, mModel, nullptr );
+}
+
+void QgsModelGraphicsScene::createItems( QgsProcessingContext &context )
+{
+  const QMap<QString, QgsProcessingModelParameter> params = mModel->parameterComponents();
+  for ( auto it = params.constBegin(); it != params.constEnd(); ++it )
+  {
+    QgsModelComponentGraphicItem *item = createParameterGraphicItem( it.value().clone() );
+    addItem( item );
+    item->setPos( it.value().position().x(), it.value().position().y() );
+    mParameterItems.insert( it.value().parameterName(), item );
+    connect( item, &QgsModelComponentGraphicItem::requestModelRepaint, this, &QgsModelGraphicsScene::rebuildRequired );
+    connect( item, &QgsModelComponentGraphicItem::changed, this, &QgsModelGraphicsScene::componentChanged );
+  }
+
+  const QMap<QString, QgsProcessingModelChildAlgorithm> childAlgs = mModel->childAlgorithms();
+  for ( auto it = childAlgs.constBegin(); it != childAlgs.constEnd(); ++it )
+  {
+    QgsModelComponentGraphicItem *item = createChildAlgGraphicItem( it.value().clone() );
+    addItem( item );
+    item->setPos( it.value().position().x(), it.value().position().y() );
+    mChildAlgorithmItems.insert( it.value().childId(), item );
+    connect( item, &QgsModelComponentGraphicItem::requestModelRepaint, this, &QgsModelGraphicsScene::rebuildRequired );
+    connect( item, &QgsModelComponentGraphicItem::changed, this, &QgsModelGraphicsScene::componentChanged );
+  }
+
+  for ( auto it = childAlgs.constBegin(); it != childAlgs.constEnd(); ++it )
+  {
+    int idx = 0;
+    const QgsProcessingParameterDefinitions parameters = it.value().algorithm()->parameterDefinitions();
+    for ( const QgsProcessingParameterDefinition *parameter : parameters )
+    {
+      if ( !parameter->isDestination() && !( parameter->flags() & QgsProcessingParameterDefinition::FlagHidden ) )
+      {
+        QList< QgsProcessingModelChildParameterSource > sources;
+        if ( it.value().parameterSources().contains( parameter->name() ) )
+          sources = it.value().parameterSources()[parameter->name()];
+        for ( const QgsProcessingModelChildParameterSource &source : sources )
+        {
+          const QList< LinkSource > sourceItems = linkSourcesForParameterValue( QVariant::fromValue( source ), it.value().childId(), context );
+          for ( const LinkSource &link : sourceItems )
+          {
+            QgsModelArrowItem *arrow = nullptr;
+            if ( link.linkIndex == -1 )
+              arrow = new QgsModelArrowItem( link.item, mChildAlgorithmItems.value( it.value().childId() ), Qt::TopEdge, idx );
+            else
+              arrow = new QgsModelArrowItem( link.item, link.edge, link.linkIndex, mChildAlgorithmItems.value( it.value().childId() ), Qt::TopEdge, idx );
+            addItem( arrow );
+          }
+          idx += 1;
+        }
+      }
+    }
+    const QStringList dependencies = it.value().dependencies();
+    for ( const QString &depend : dependencies )
+    {
+      addItem( new QgsModelArrowItem( mChildAlgorithmItems.value( depend ), mChildAlgorithmItems.value( it.value().childId() ) ) );
+    }
+  }
+
+  for ( auto it = childAlgs.constBegin(); it != childAlgs.constEnd(); ++it )
+  {
+    const QMap<QString, QgsProcessingModelOutput> outputs = it.value().modelOutputs();
+    QMap< QString, QgsModelComponentGraphicItem * > outputItems;
+
+    for ( auto outputIt = outputs.constBegin(); outputIt != outputs.constEnd(); ++outputIt )
+    {
+      QgsModelComponentGraphicItem *item = createOutputGraphicItem( outputIt.value().clone() );
+      addItem( item );
+      connect( item, &QgsModelComponentGraphicItem::requestModelRepaint, this, &QgsModelGraphicsScene::rebuildRequired );
+      connect( item, &QgsModelComponentGraphicItem::changed, this, &QgsModelGraphicsScene::componentChanged );
+
+      QPointF pos = outputIt.value().position();
+
+      // find the actual index of the linked output from the child algorithm it comes from
+      const QgsProcessingOutputDefinitions sourceChildAlgOutputs = it.value().algorithm()->outputDefinitions();
+      int idx = -1;
+      int i = 0;
+      for ( const QgsProcessingOutputDefinition *childAlgOutput : sourceChildAlgOutputs )
+      {
+        if ( childAlgOutput->name() == outputIt.value().childOutputName() )
+        {
+          idx = i;
+          break;
+        }
+        i++;
+      }
+
+#if 0
+    if pos is None:
+      pos = ( alg.position() + QPointF( alg.size().width(), 0 )
+              + self.algItems[alg.childId()].linkPoint( Qt.BottomEdge, idx ) )
+#endif
+              item->setPos( pos );
+      outputItems.insert( outputIt.key(), item );
+      addItem( new QgsModelArrowItem( mChildAlgorithmItems[it.value().childId()], Qt::BottomEdge, idx, item ) );
+    }
+    mOutputItems.insert( it.value().childId(), outputItems );
+  }
+}
+
+QList<QgsModelGraphicsScene::LinkSource> QgsModelGraphicsScene::linkSourcesForParameterValue( const QVariant &value, const QString &childId, QgsProcessingContext &context ) const
+{
+  QList<QgsModelGraphicsScene::LinkSource> res;
+  if ( value.type() == QVariant::List )
+  {
+    const QVariantList list = value.toList();
+    for ( const QVariant &v : list )
+      res.append( linkSourcesForParameterValue( v, childId, context ) );
+  }
+  else if ( value.type() == QVariant::StringList )
+  {
+    const QStringList list = value.toStringList();
+    for ( const QString &v : list )
+      res.append( linkSourcesForParameterValue( v, childId, context ) );
+  }
+  else if ( value.canConvert< QgsProcessingModelChildParameterSource >() )
+  {
+    const QgsProcessingModelChildParameterSource source = value.value< QgsProcessingModelChildParameterSource >();
+    switch ( source.source() )
+    {
+      case QgsProcessingModelChildParameterSource::ModelParameter:
+      {
+        LinkSource l;
+        l.item = mParameterItems.value( source.parameterName() );
+        res.append( l );
+        break;
+      }
+      case QgsProcessingModelChildParameterSource::ChildOutput:
+      {
+        const QgsProcessingOutputDefinitions outputs = mModel->childAlgorithm( source.outputChildId() ).algorithm()->outputDefinitions();
+        int i = 0;
+        for ( const QgsProcessingOutputDefinition *output : outputs )
+        {
+          if ( output->name() == source.outputName() )
+            break;
+          i++;
+        }
+        if ( mChildAlgorithmItems.contains( source.outputChildId() ) )
+        {
+          LinkSource l;
+          l.item = mChildAlgorithmItems.value( source.outputChildId() );
+          l.edge = Qt::BottomEdge;
+          l.linkIndex = i;
+          res.append( l );
+        }
+
+        break;
+      }
+
+      case QgsProcessingModelChildParameterSource::Expression:
+      {
+        const QMap<QString, QgsProcessingModelAlgorithm::VariableDefinition> variables = mModel->variablesForChildAlgorithm( childId, context );
+        QgsExpression exp( source.expression() );
+        const QSet<QString> vars = exp.referencedVariables();
+        for ( const QString &v : vars )
+        {
+          if ( variables.contains( v ) )
+          {
+            res.append( linkSourcesForParameterValue( QVariant::fromValue( variables.value( v ).source ), childId, context ) );
+          }
+        }
+        break;
+      }
+
+      case QgsProcessingModelChildParameterSource::StaticValue:
+      case QgsProcessingModelChildParameterSource::ExpressionText:
+        break;
+    }
+  }
+  return res;
+}
+
 ///@endcond
 
diff --git a/src/gui/processing/models/qgsmodelgraphicsscene.h b/src/gui/processing/models/qgsmodelgraphicsscene.h
index 0c1971f4157..0ecf11a2ca7 100644
--- a/src/gui/processing/models/qgsmodelgraphicsscene.h
+++ b/src/gui/processing/models/qgsmodelgraphicsscene.h
@@ -18,8 +18,14 @@
 
 #include "qgis.h"
 #include "qgis_gui.h"
+#include "qgsprocessingcontext.h"
 #include <QGraphicsScene>
 
+class QgsProcessingModelAlgorithm;
+class QgsModelComponentGraphicItem;
+class QgsProcessingModelParameter;
+class QgsProcessingModelChildAlgorithm;
+class QgsProcessingModelOutput;
 
 ///@cond NOT_STABLE
 
@@ -90,10 +96,33 @@ class GUI_EXPORT QgsModelGraphicsScene : public QGraphicsScene
      */
     void componentChanged();
 
+  protected:
+
+    virtual QgsModelComponentGraphicItem *createParameterGraphicItem( QgsProcessingModelParameter *param ) const SIP_FACTORY;
+    virtual QgsModelComponentGraphicItem *createChildAlgGraphicItem( QgsProcessingModelChildAlgorithm *child ) const  SIP_FACTORY;
+    virtual QgsModelComponentGraphicItem *createOutputGraphicItem( QgsProcessingModelOutput *output ) const SIP_FACTORY;
+
   private:
 
+    void createItems( QgsProcessingContext &context );
+
+    struct LinkSource
+    {
+      QgsModelComponentGraphicItem *item = nullptr;
+      Qt::Edge edge = Qt::LeftEdge;
+      int linkIndex = -1;
+    };
+    QList< LinkSource > linkSourcesForParameterValue( const QVariant &value, const QString &childId, QgsProcessingContext &context ) const;
+
+
     Flags mFlags = nullptr;
 
+    QgsProcessingModelAlgorithm *mModel = nullptr;
+
+    QMap< QString, QgsModelComponentGraphicItem * > mParameterItems;
+    QMap< QString, QgsModelComponentGraphicItem * > mChildAlgorithmItems;
+    QMap< QString, QMap< QString, QgsModelComponentGraphicItem * > > mOutputItems;
+
 };
 
 Q_DECLARE_METATYPE( QgsModelGraphicsScene::Flags )