The extension of the ideas of multigrid to complex compressible flow calculation is generally not straightforward, especially when nonembedded grids or volume agglomerations are used in order to work with unstructured grids. In this communication, we study the extension of the FMG method to non-embedded meshes and complex flows and the extension of anisotropic semi-coarsening to unstructured volume agglomeration. Application to steady compressible hows are presented.