a biocompatible polymeric composition for cross - linking in - situ in a wound is disclosed comprising 1 ) one or more polyanionic polymers such as alginates or hyaluronates , able to be cross - linked the surface of the wound and 2 ) one or more polycationic polymers such as chitosan or deae - dextran , that assists in the solidification process as well as speeds up hemostasis without the need for applying pressure . the biocompatible polymeric composition may further comprise a cross - linking agent such as aqueous calcium chloride . the invention encompasses an initial polymeric composition , the solidified matrix cross - linked and integrated at the wound site , including the methods of using , applying , and cross - linking the composition .