A dressing (2) and an apparatus (1) comprising the dressing, for cleansing the wounds (5) in which an irrigant fluid from a reservoir (12) connected to a conformable would dressing and would exudate from the dressing are moved by a device (18) (which may be a single pump or two pumps) for moving fluid through a flow Path (6, 7, 9, 10) which passes through the dressing with a means for providing simultaneous aspiration and irrigation of the wound, to provide a desired balance of fluid at a controlled nominal flow rate that removes materials deleterious to wound healing, while distributing materials that are beneficial in promoting would healing over the wound bed.