An implantable prosthesis for repairing or reinforcing a tissue or muscle wall defect including a first composite structure including at least one layer of a non-absorbable material, wherein the first composite structure has a central portion sized and shaped to cover at least a portion of the tissue or muscle wall defect, and has an outer periphery. The prosthesis further includes a second structure having a reinforced central region and an outer peripheral edge, a reinforcing element positioned between the first and second structures, and having an outer periphery and a stiffness greater than that of the first and second structures, and at least one pulling element coupled to the reinforced central region of the second structure. The second structure is coupled to the first structure substantially only at their respective peripheries.