A composite structure, a suction-assisted wound treatment system including the composite structure and a method of making the same is disclosed. The composite structure includes a cover, a stiffener, and a releasable liner. The cover is a thin flexible film having an upper surface, an undersurface, a principal portion, a pair of marginal edges and an adhesive on the undersurface. The stiffener is releasably secured to the upper surface of the principal portion of the cover and includes a handle which is more rigid than the principal portion of the stiffener. The handle forms a portion of the undersurface of the stiffener and defines a finger space between it and portion of the cover disposed therebelow. The liner includes at least one section releasably secured to the adhesive of the cover. The stiffener and the handle are removable as a unit from the cover.