A wound dressing apparatus for use in subatmospheric pressure therapy includes an outer member dimensioned for positioning relative to a wound bed and defining an internal reservoir, a port associated with the outer member and in communication with the internal reservoir for applying subatmospheric pressure to the internal reservoir to facilitate treatment of the wound bed and removal of fluid therefrom, an inner member at least partially positionable within the wound bed and confined within the outer member, and an adhesive agent in contact with a peripheral section of the outer member to facilitate attachment of the peripheral section to the periwound tissue. The adhesive agent is preferably substantially devoid of contact with the inner member. In one embodiment, a layer of adhesive material is disposed on the peripheral section of the outer member.