A carrier device including a flexible adhesive base plate with an opening for securing the carrier device to a users skin around a stoma, and a substantially circumferential flange made of a flexible material and adapted for removable and adhesive connection with a coupling element of an ostomy collecting bag. The outer portion of the flange is free to move relative to the base plate and is more flexible than the inner portion of the flange. As a result, the outer portion can absorb movements between the carrier device and the collecting bag, thus protecting against peeling of the bond between the flange members as well as providing a cushioning effect against forces acting on the periphery of the flanges, while the less flexible inner portion can withstand deformations originating from the adhesive base plate.