diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
index b0c37510978..cccac62f8c2 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
@@ -349,8 +349,8 @@ public:
     , desired_output(desired_output)
     , is_tm1_closed( is_closed(tm1))
     , is_tm2_closed( is_closed(tm2))
-    , is_tm1_inside_out( is_tm1_closed && !PMP::is_outward_oriented(tm1) )
-    , is_tm2_inside_out( is_tm2_closed && !PMP::is_outward_oriented(tm2) )
+    , is_tm1_inside_out( is_tm1_closed && !PMP::is_outward_oriented(tm1, parameters::vertex_point_map(vpm1)) )
+    , is_tm2_inside_out( is_tm2_closed && !PMP::is_outward_oriented(tm2, parameters::vertex_point_map(vpm2)) )
     , NID((std::numeric_limits<Node_id>::max)())
     , mesh_to_intersection_edges(tm1, tm2)
   {}
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/orientation.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/orientation.h
index 15d3299f895..1f797f5f534 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/orientation.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/orientation.h
@@ -77,7 +77,7 @@ namespace internal{
 
     //VertexPointMap
     typedef typename GetVertexPointMap<PolygonMesh, NamedParameters>::const_type VPMap;
-    VPMap vpmap = choose_param(get_param(np, vertex_point),
+    VPMap vpmap = choose_param(get_param(np, internal_np::vertex_point),
                                get_const_property_map(vertex_point, pmesh));
     //Kernel
     typedef typename GetGeomTraits<PolygonMesh, NamedParameters>::type GT;