An integrated negative pressure bandage is constructed with a non-woven polyurethane matrix pad 15 secured on the outside surface to a sheet of polyurethane film 13 formed with an outer adhesive boundary 14 to establish a seal against the skin of the patient around the wound site. The inner surface of the non-woven matrix pad 15 is covered with a silver nitrate mesh 12 to promote healing of the wound site when the bandage is placed on top of the wound. A drain tube 20 is contained within the non-woven matrix pad 15 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.