Medical system consisting of a 2-piece closed pouch, suitable mainly for colostomies or for stomas with less frequent or more predictable evacuations. With a system of coupling the pouch to the blade that by means of an audible click, warns that the device is firmly attached. The Conform 2 pouch can be used with both flat and convex blades. The floating ring allows the pouch to be adjusted without pressure on the abdomen.