A wound treatment appliance is provided for treating all or a portion of a wound. In some embodiments, the appliance comprises an impermeable flexible overlay that covers all or a portion of the wound for purposes of applying a reduced pressure to the covered portion of the wound. In other embodiments, the impermeable flexible overlay comprises suction assistance means, such as channels, which assist in the application of reduced pressure to the area of the wound and removal of exudate from the wound. In other embodiments, the wound treatment appliance also includes a vacuum system to supply reduced pressure to the wound in the area under the flexible overlay. In yet other embodiments, the wound treatment appliance also includes wound packing means to prevent overgrowth of the wound or to encourage growth of the wound tissue into an absorbable matrix comprising the wound packing means. In still other embodiments, the appliance may include a suction drain. In other embodiments, the appliance may include a collection chamber to collect and store exudate from the wound. In yet other embodiments, a suction bulb may be used to provide a source of reduced pressure to an impermeable overlay that covers all or a portion of the wound. Finally, methods are provided for using various embodiments of the wound treatment appliance.