An ostomy appliance (20) including a sealing wafer (22) with a first adhesive (32) having a first opening (34) configured to be attached to a skin surface around an ostomy of a user, and a bag (36) for collecting stomal output that includes a second adhesive (44) configured to engage with the skin surface radially outside of the sealing wafer. The sealing wafer and the bag are configured to be connectible to each other either in direct connection or by a coupling interface. One kind of coupling interface includes one or more pipe sections (50). The ostomy appliance allows for differentiation of adhesive types for different purposes, such as sealing and load carrying.