An improved, polymeric surgical membrane, which can be used in a variety of surgical procedures, such as sutured and sutureless duraplasty procedures. For sutureless applications, a textured, discontinuous, outer polymer layer is provided which encourages rapid incorporation and anchoring into surrounding tissue. In cooperation with the discontinuous first layer, a second elastomeric layer provides elasticity and resilience. A third barrier layer is provided to essentially eliminate adhesions and irritation to surrounding tissue. In those applications requiring anchoring sutures, the second elastomeric layer “self-seals” against the sutures, essentially eliminating the leakage of blood, cerebrospinal fluid, or other fluids. In addition, the composite structure of the present invention has a high degree of suture retention strength is polymeric with a high degree of biocompatibility, is thin and very flexible.