A compression device includes an inflatable member mounted on a mounting layer. The device may include a second layer secured to the mounting layer to form an envelope member in which the inflatable member is disposed. The second layer may be a non-mounting layer, to which the inflatable member is not secured, or another mounting layer, to which the inflatable member is secured. A securement mechanism by which the inflatable member is secured to either the mounting layer or both the mounting layer and the second layer allows the inflatable member to move independently relative to either the second layer or to both the second layer and the mounting layer.