An integrated negative pressure bandage is constructed with a non-woven polyurethane matrix pad secured on the outside surface to a sheet of polyurethane film formed with an outer adhesive boundary to establish a seal against the skin of the patient around the wound site. The inner surface of the non-woven matrix pad is covered with a silver nitrate mesh to promote healing of the wound site when the bandage is placed on top of the wound. A drain tube is contained within the non-woven matrix pad for connection with a source of negative pressure to draw the fluids and exudates from the wound for removal to a canister that is located remotely from the bandage. Contoured versions of the integrated bandage are provided for use on portions of the human body that present difficult locations for applications of negative pressure therapy, including the toes, heel, limbs, and sacral region.