Abstract: An ostomy appliance comprises two pouches, one being located within and extractable from the other. The inner pouch has a stoma-receiving orifice in its bodyside wall and an annular adhesive flange externally secured to that bodyside wall about the orifice. The outer pouch has a substantially larger opening in its bodyside wall and a second annular adhesive flange is secured to that wall and surrounds the first adhesive flange of the inner pouch. The two flanges are spaced from each other and the only connection between the two pouches occurs along their uppermost margins. The inner pouch is provided with a tear line along its upper margin, and the outer pouch has an access flap in its obverse wall which may be torn downwardly for gaining access to and removing the inner pouch from the outer pouch.