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.