A wound treatment appliance (510) is provided that generally comprises a gas-impermeable flexible overlay (520) that covers all or a portion of a wound for purposes of applying a reduced pressure to the covered portion of the wound. When reduced pressure is applied to the flexible overlay, it collapses in the approximate direction of the wound, producing an approximately hermetic seal between the flexible overlay and the body in the area of the wound. In addition, the appliance further comprises a collection chamber (590) to collect and store exudate from the wound. The appliance may also comprise a vacuum system to supply reduced pressure to the wound in the area under the flexible overlay. Further, the appliance may include wound packing means to assist in wound healing. The appliance may also include a suction drain. Finally, methods are provided for using the appliance.