diff --git a/Mesh_3/include/CGAL/Mesh_3/initialize_triangulation_from_labeled_image.h b/Mesh_3/include/CGAL/Mesh_3/initialize_triangulation_from_labeled_image.h
index 6ea46d43663..1d6d26718d4 100644
--- a/Mesh_3/include/CGAL/Mesh_3/initialize_triangulation_from_labeled_image.h
+++ b/Mesh_3/include/CGAL/Mesh_3/initialize_triangulation_from_labeled_image.h
@@ -152,8 +152,8 @@ void initialize_triangulation_from_labeled_image(C3T3& c3t3,
     const Subdomain seed_label
       = domain.is_in_domain_object()(seed_point);
     const Subdomain seed_cell_label
-      = (seed_cell == Cell_handle()) //seed_point is OUTSIDE_AFFINE_HULL
-        ? Subdomain()
+      = (seed_cell == Cell_handle() || tr.is_infinite(seed_cell))
+        ? Subdomain()  //seed_point is OUTSIDE_AFFINE_HULL
         : domain.is_in_domain_object()(
             seed_cell->weighted_circumcenter(tr.geom_traits()));