A compression device (1) comprises an inflatable bladder (3) capable of being pressurized for applying compression to a part of a subject's body. The device further comprises a controller which is configured to supply a fluid from a source of pressurized fluid to the first inflatable bladder (3) disposed about a portion of the subject's body and to vent the pressurized fluid from the first inflatable bladder (3) by opening a first valve (23). The controller monitors fluid pressure in the first inflatable bladder (3) during the venting thereof. Based at least in part on the monitored fluid pressure, the first valve (23) is selectively closed and selectively reopened to control fluid pressure in the first inflatable bladder (3) to remain within a desired residual pressure range.
