Abstract: A composite implantable device for promoting tissue ingrowth therein comprising a biodurable reticulated elastomeric matrix having a three-dimensional porous structure having a continueous network of interconnected and intercommunicating open pores and a support structure is disclosed. The support structure may be a polymeric surgical mesh comprising a plurality of intersecting one-dimensional reinforcement elements, wherein said mesh is affixed to a face of said first matrix. Methods of making and using the implantable device are also provided.