Abstract: Tissue absorbable synthetic polymeric fibers, such as polyglycolic acid, are felted to form a thin mat with at least one, and preferably both, surfaces compacted by contact with a heated embossing surface such as a hot roller. Porosity is reduced but the compacted felt retains its flexibility, and conforms readily to the surface of a bleeding wound to give effective rapid hemostasis. The hemostatic felt is conveniently but not necessarily allowed to remain in place during the healing process and is absorbed by living tissue.