diff --git a/src/Mod/Draft/draftobjects/draftlink.py b/src/Mod/Draft/draftobjects/draftlink.py
index 5437a67dbf..d230977acd 100644
--- a/src/Mod/Draft/draftobjects/draftlink.py
+++ b/src/Mod/Draft/draftobjects/draftlink.py
@@ -187,8 +187,9 @@ class DraftLink(DraftObject):
                             "from '{}'\n".format(obj.Label, obj.Base.Label))
                 raise RuntimeError(_err_msg)
             else:
-                shape = shape.copy()
-                shape.Placement = App.Placement()
+                # Resetting the Placement of the copied shape does not work for
+                # Part_Vertex and Draft_Point objects, we need to transform:
+                shape = shape.transformGeometry(shape.Placement.Matrix.inverse())
                 base = []
                 for i, pla in enumerate(pls):
                     vis = getattr(obj, 'VisibilityList', [])