A wound management pouch that is securable to skin around a wound site to define a space wherein the wound is accessible, includes first and second wall elements of flexible sheet material that are secured to one another to define a space therebetween. The first wall element is adhesively secured to the skin around the wound site and is provided with an opening, or an opening can be cut in the wall element, for access between the wound site and the space between the wall elements. An openable and resealable formation 34 provides access to the space between the wall elements and a connector element 30 is held to the at least one wall element and affords at least one passage for external communication with the space. The connector element includes at least two spigots through which the, or a, passage extends, for engagement by a member for fluid supply to or removal from the space. The spigots extend into the wound space of the device and to the exterior of the device.