An ostomy appliance is disclosed with an inflatable seal for sealing againstthe stoma. The inflatable seal has a first inflatable chamber portion for fittinginside the stoma to seal against the internal tissue. The inflatable seal alsohas a second inflatable chamber portion for sealing externally against the stomaand peristomal skin. In one embodiment, a tube extends through the inflatableseal to provide a communication passage for discharge of body waste without removingthe inflatable seal. The tube floats with respect to an adhesive mounting memberto allow a waist between the first and second inflatable chamber portions to self-locatein the stoma.