diff --git a/test/multidomain/facet/1p_1p/gravity/CMakeLists.txt b/test/multidomain/facet/1p_1p/gravity/CMakeLists.txt
index 33e42f31c4c18351bd1d7b29153a04364c7c9240..132aa481bd96b8a7a40a2ccb24250cfb328160b8 100644
--- a/test/multidomain/facet/1p_1p/gravity/CMakeLists.txt
+++ b/test/multidomain/facet/1p_1p/gravity/CMakeLists.txt
@@ -70,3 +70,39 @@ dumux_add_test(NAME test_md_facet_1p1p_gravity_xi066_mpfa
--command "${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_1p1p_gravity_mpfa params.input \
-FacetCoupling.Xi 0.66
-Vtk.OutputName test_md_facet_1p1p_gravity_xi066_mpfa")
+
+dumux_add_test(NAME test_md_facet_1p1p_gravity_surface_tpfa
+ LABELS multidomain multidomain_facet 1p
+ CMAKE_GUARD "( dune-foamgrid_FOUND AND dune-alugrid_FOUND )"
+ SOURCES main.cc
+ COMPILE_DEFINITIONS BULKTYPETAG=OnePBulkTpfa
+ COMPILE_DEFINITIONS LOWDIMTYPETAG=OnePLowDimTpfa
+ COMPILE_DEFINITIONS BULKGRIDTYPE=Dune::ALUGrid<2,3,Dune::cube,Dune::nonconforming>
+ COMPILE_DEFINITIONS LOWDIMGRIDTYPE=Dune::FoamGrid<1,3>
+ COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+ CMD_ARGS --script fuzzy
+ --files ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_1p1p_gravity_surface_tpfa_bulk-00000.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_1p1p_gravity_surface_tpfa_bulk-00001.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_1p1p_gravity_surface_tpfa_lowdim-00000.vtp
+ ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_1p1p_gravity_surface_tpfa_lowdim-00001.vtp
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_1p1p_gravity_surface_tpfa params.input \
+ -Vtk.OutputName test_md_facet_1p1p_gravity_surface_tpfa \
+ -Grid.File grids/gravity_surface.msh")
+
+dumux_add_test(NAME test_md_facet_1p1p_gravity_surface_mpfa
+ LABELS multidomain multidomain_facet 1p
+ CMAKE_GUARD "( dune-foamgrid_FOUND AND dune-alugrid_FOUND )"
+ SOURCES main.cc
+ COMPILE_DEFINITIONS BULKTYPETAG=OnePBulkMpfa
+ COMPILE_DEFINITIONS LOWDIMTYPETAG=OnePLowDimMpfa
+ COMPILE_DEFINITIONS BULKGRIDTYPE=Dune::ALUGrid<2,3,Dune::cube,Dune::nonconforming>
+ COMPILE_DEFINITIONS LOWDIMGRIDTYPE=Dune::FoamGrid<1,3>
+ COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+ CMD_ARGS --script fuzzy
+ --files ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_1p1p_gravity_surface_mpfa_bulk-00000.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_1p1p_gravity_surface_mpfa_bulk-00001.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_1p1p_gravity_surface_mpfa_lowdim-00000.vtp
+ ${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_1p1p_gravity_surface_mpfa_lowdim-00001.vtp
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_md_facet_1p1p_gravity_surface_mpfa params.input \
+ -Vtk.OutputName test_md_facet_1p1p_gravity_surface_mpfa \
+ -Grid.File grids/gravity_surface.msh")
diff --git a/test/multidomain/facet/1p_1p/gravity/grids/gravity_surface.msh b/test/multidomain/facet/1p_1p/gravity/grids/gravity_surface.msh
new file mode 100644
index 0000000000000000000000000000000000000000..0b7f7c8e7f7f90198eb2565157727f6fc9b97e91
--- /dev/null
+++ b/test/multidomain/facet/1p_1p/gravity/grids/gravity_surface.msh
@@ -0,0 +1,5260 @@
+$MeshFormat
+2.2 0 8
+$EndMeshFormat
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