diff --git a/packages/joint-core/src/dia/Graph.mjs b/packages/joint-core/src/dia/Graph.mjs
index a027fbd3c..4ae3244e4 100644
--- a/packages/joint-core/src/dia/Graph.mjs
+++ b/packages/joint-core/src/dia/Graph.mjs
@@ -396,6 +396,41 @@ export const Graph = Model.extend({
         this.get('cells').remove(cell, { silent: true });
     },
 
+    transferCellHierarchy: function(sourceCell, targetCell) {
+
+        // Embed children of the source cell in the target cell.
+        const children = sourceCell.getEmbeddedCells();
+        if (children.length > 0) {
+            sourceCell.unembed(children);
+            targetCell.embed(children);
+        }
+
+        // Embed the target cell in the parent of the source cell, if any.
+        const parent = sourceCell.getParentCell();
+        if (parent) {
+            parent.unembed(sourceCell);
+            parent.embed(targetCell);
+        }
+
+        return this;
+    },
+
+    transferCellLinks: function(sourceCell, targetCell) {
+
+        // Reconnect all the links connected to the old cell to the new cell.
+        const connectedLinks = this.getConnectedLinks(sourceCell);
+        connectedLinks.forEach((link) => {
+
+            if (link.getSourceCell() === sourceCell) {
+                link.prop(['source', 'id'], targetCell.id);
+            } else {
+                link.prop(['target', 'id'], targetCell.id);
+            }
+        });
+
+        return this;
+    },
+
     // Get a cell by `id`.
     getCell: function(id) {
 
diff --git a/packages/joint-core/test/jointjs/graph.js b/packages/joint-core/test/jointjs/graph.js
index 6a7475fa0..a905ac51f 100644
--- a/packages/joint-core/test/jointjs/graph.js
+++ b/packages/joint-core/test/jointjs/graph.js
@@ -1546,4 +1546,128 @@ QUnit.module('graph', function(hooks) {
             assert.notOk(graph.hasActiveBatch());
         });
     });
+
+    QUnit.module('graph.transferCellHierarchy()', function() {
+
+        QUnit.test('should transfer hierarchy of elements', function(assert) {
+
+            const topLevelElement = new joint.shapes.standard.Rectangle();
+            const originalElement = new joint.shapes.standard.Rectangle();
+            const child = new joint.shapes.standard.Rectangle();
+            const replacementElement = new joint.shapes.standard.Rectangle();
+
+            topLevelElement.embed(originalElement);
+            originalElement.embed(child);
+
+            this.graph.addCells([topLevelElement, originalElement, child, replacementElement]);
+            this.graph.transferCellHierarchy(originalElement, replacementElement);
+
+            assert.equal(replacementElement.getParentCell(), topLevelElement);
+            assert.equal(replacementElement.getEmbeddedCells()[0], child);
+        });
+
+        QUnit.test('should transfer hierarchy of links', function(assert) {
+
+            const parent = new joint.shapes.standard.Rectangle();
+            const originalLink = new joint.shapes.standard.Link();
+            const replacementLink = new joint.shapes.standard.Link();
+
+            parent.embed(originalLink);
+
+            this.graph.addCells([parent, originalLink, replacementLink]);
+            this.graph.transferCellHierarchy(originalLink, replacementLink);
+
+            assert.equal(replacementLink.getParentCell(), parent);
+        });
+
+        QUnit.test('should work when transferring hierarchy from a link to an element', function(assert) {
+
+            const parent = new joint.shapes.standard.Rectangle();
+            const link = new joint.shapes.standard.Link();
+            const element = new joint.shapes.standard.Rectangle();
+
+            parent.embed(link);
+
+            this.graph.addCells([parent, link, element]);
+            this.graph.transferCellHierarchy(link, element);
+
+            assert.equal(element.getParentCell(), parent);
+        });
+
+        QUnit.test('should work when transferring hierarchy from an element to a link', function(assert) {
+
+            const parent = new joint.shapes.standard.Rectangle();
+            const link = new joint.shapes.standard.Link();
+            const child = new joint.shapes.standard.Rectangle();
+            const element = new joint.shapes.standard.Rectangle();
+
+            element.embed(child);
+            parent.embed(element);
+
+            this.graph.addCells([parent, link, child, element]);
+            this.graph.transferCellHierarchy(element, link);
+
+            assert.equal(link.getParentCell(), parent);
+            assert.equal(link.getEmbeddedCells()[0], child);
+        });
+    });
+
+    QUnit.module('graph.transferCellLinks()', function() {
+
+        QUnit.test('should transfer links of an element', function(assert) {
+
+            const originalElement = new joint.shapes.standard.Rectangle();
+            const link1 = new joint.shapes.standard.Link({ source: { id: originalElement.id }});
+            const link2 = new joint.shapes.standard.Link({ target: { id: originalElement.id }});
+            const replacementElement = new joint.shapes.standard.Rectangle();
+
+            this.graph.addCells([originalElement, link1, link2]);
+            this.graph.transferCellLinks(originalElement, replacementElement);
+
+            assert.equal(link1.source().id, replacementElement.id);
+            assert.equal(link2.target().id, replacementElement.id);
+        });
+
+        QUnit.test('should transfer links of a link', function(assert) {
+
+            const originalLink = new joint.shapes.standard.Link();
+            const link1 = new joint.shapes.standard.Link({ source: { id: originalLink.id }});
+            const link2 = new joint.shapes.standard.Link({ target: { id: originalLink.id }});
+            const replacementLink = new joint.shapes.standard.Link();
+
+            this.graph.addCells([originalLink, link1, link2]);
+            this.graph.transferCellLinks(originalLink, replacementLink);
+
+            assert.equal(link1.source().id, replacementLink.id);
+            assert.equal(link2.target().id, replacementLink.id);
+        });
+
+        QUnit.test('should work when transferring links from a link to an element', function(assert) {
+
+            const originalLink = new joint.shapes.standard.Link();
+            const link1 = new joint.shapes.standard.Link({ source: { id: originalLink.id }});
+            const link2 = new joint.shapes.standard.Link({ target: { id: originalLink.id }});
+            const element = new joint.shapes.standard.Rectangle();
+
+            this.graph.addCells([originalLink, link1, link2, element]);
+            this.graph.transferCellLinks(originalLink, element);
+
+            assert.equal(link1.source().id, element.id);
+            assert.equal(link2.target().id, element.id);
+        });
+
+        QUnit.test('should work when transferring links from an element to a link', function(assert) {
+
+            const originalElement = new joint.shapes.standard.Rectangle();
+            const link1 = new joint.shapes.standard.Link({ source: { id: originalElement.id }});
+            const link2 = new joint.shapes.standard.Link({ target: { id: originalElement.id }});
+            const replacementLink = new joint.shapes.standard.Link();
+
+            this.graph.addCells([originalElement, link1, link2, replacementLink]);
+            this.graph.transferCellLinks(originalElement, replacementLink);
+
+            assert.equal(link1.source().id, replacementLink.id);
+            assert.equal(link2.target().id, replacementLink.id);
+        });
+    });
 });
diff --git a/packages/joint-core/types/joint.d.ts b/packages/joint-core/types/joint.d.ts
index 64acef7f1..812201b7c 100644
--- a/packages/joint-core/types/joint.d.ts
+++ b/packages/joint-core/types/joint.d.ts
@@ -263,6 +263,10 @@ export namespace dia {
 
         removeCells(cells: Cell[], opt?: Cell.DisconnectableOptions): this;
 
+        transferCellHierarchy(sourceCell: Cell, targetCell: Cell): this;
+
+        transferCellLinks(sourceCell: Cell, targetCell: Cell): this;
+
         resize(width: number, height: number, opt?: S): this;
 
         resizeCells(width: number, height: number, cells: Cell[], opt?: S): this;