diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_of_coplanar_triangles_3.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_of_coplanar_triangles_3.h
index 3cfcf3326fd..489bbd963aa 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_of_coplanar_triangles_3.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_of_coplanar_triangles_3.h
@@ -79,7 +79,7 @@ struct Intersect_coplanar_faces_3{
   //constructor for intersection of edges. prev and curr are two points on an edge of the first facet (preserving the
   //orientation of the facet). This edge is intersected by h2 from the second facet.
   //
-  //The rational is the following: we first check whether curr and prev are on the same edge. I so we create
+  //The rational is the following: we first check whether curr and prev are on the same edge. If so we create
   //an intersection point between two edges. Otherwise, the point is a vertex of the second facet included into
   //the first facet.
   //
@@ -102,9 +102,25 @@ struct Intersect_coplanar_faces_3{
     res.info_2=h2;
 
     if (ipt_prev.type_1==ON_VERTEX && next(ipt_prev.info_1, tm1) == ipt_curr.info_1){
-      CGAL_assertion(ipt_curr.type_1!=ON_FACE);
-      res.type_1=ON_EDGE;
-      res.info_1=ipt_curr.info_1;
+      if(ipt_curr.type_1!=ON_FACE)
+      {
+        res.type_1=ON_EDGE;
+        res.info_1=ipt_curr.info_1;
+      }
+      else
+      {
+        CGAL_assertion( ipt_curr.type_2==ON_VERTEX);
+        res.type_1=ON_FACE;
+        res.info_1=h1;
+        res.type_2=ON_VERTEX;
+        typename Exact_kernel::Collinear_3 is_collinear = Exact_kernel().collinear_3_object();
+        if ( !is_collinear(ipt_prev.point,ipt_curr.point,to_exact(get(vpm2,target(res.info_2,tm2)) ) ) ){
+          res.info_2=prev(res.info_2,tm2);
+          CGAL_assertion( is_collinear(ipt_prev.point,ipt_curr.point,to_exact(get(vpm2,target(res.info_2,tm2))) ) );
+        }
+        res.point = to_exact( get(vpm2, target(res.info_2,tm2)) );
+        return res;
+      }
     }
     else{
       if(ipt_curr.type_1==ON_VERTEX && ipt_prev.info_1 == ipt_curr.info_1){
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/data-coref/coplanar_triangles/all_cases/bugreport/tr2-1.off b/Polygon_mesh_processing/test/Polygon_mesh_processing/data-coref/coplanar_triangles/all_cases/bugreport/tr2-1.off
new file mode 100644
index 00000000000..692c64e5c3d
--- /dev/null
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/data-coref/coplanar_triangles/all_cases/bugreport/tr2-1.off
@@ -0,0 +1,6 @@
+OFF
+3 1 0
+0 5310 100
+0 5400 100
+0 5310 150
+3 0 2 1
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/data-coref/coplanar_triangles/all_cases/bugreport/tr2-2.off b/Polygon_mesh_processing/test/Polygon_mesh_processing/data-coref/coplanar_triangles/all_cases/bugreport/tr2-2.off
new file mode 100644
index 00000000000..21bb089ace4
--- /dev/null
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/data-coref/coplanar_triangles/all_cases/bugreport/tr2-2.off
@@ -0,0 +1,6 @@
+OFF
+3 1 0
+0 5375 105
+0 5350 110
+0 5375 110
+3 1 2 0
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/test_corefine.cmd b/Polygon_mesh_processing/test/Polygon_mesh_processing/test_corefine.cmd
index a173eef4b20..e7e5fb3547b 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/test_corefine.cmd
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/test_corefine.cmd
@@ -64,6 +64,7 @@ data-coref/coplanar_triangles/all_cases/deg/tr15-1.off data-coref/coplanar_trian
 data-coref/coplanar_triangles/all_cases/deg/tr16-1.off data-coref/coplanar_triangles/all_cases/deg/tr16-2.off
 data-coref/coplanar_triangles/all_cases/deg/tr17-1.off data-coref/coplanar_triangles/all_cases/deg/tr17-2.off
 data-coref/coplanar_triangles/all_cases/bugreport/tr1-1.off data-coref/coplanar_triangles/all_cases/bugreport/tr1-2.off
+data-coref/coplanar_triangles/all_cases/bugreport/tr2-1.off data-coref/coplanar_triangles/all_cases/bugreport/tr2-2.off
 data-coref/coplanar_triangles/all_cases/tr1-1.off data-coref/coplanar_triangles/all_cases/tr1-2.off
 data-coref/coplanar_triangles/all_cases/tr2-1.off data-coref/coplanar_triangles/all_cases/tr2-2.off
 data-coref/coplanar_triangles/all_cases/tr3-1.off data-coref/coplanar_triangles/all_cases/tr3-2.off