A stoma adapter is described that is especially suited to a recessed stoma or a flush stoma. The stoma adapter effectively extends the discharge passage from the stoma, protects peristomal skin, and forms a bridge at the interface between the stoma and an ostomy appliance. The stoma adapter contains a substantially unobstructed discharge passage, at least for effluent flowing in a discharge direction. The stoma adapter includes a seal for sealing against the bowel wall. The stoma adapter has collapsing, expanding, flexible and reinforced designs.