Abstract: An adapter arrangement for use with a waste collection construction, for example an ostomy appliance, includes a flange defining a stoma-receiving aperture and a tubular wall extending from the flange. The flange includes first and second opposite surfaces, each having an adhesive layer disposed thereon. The tubular wall has an inner, stoma-contacting surface and an opposite outer surface. The inner, stoma-contacting surface includes a stoma-contacting adhesive layer. A collection system includes an adapter arrangement, and a waste collection pouch. The waste collection pouch includes a pouch wall and a mouth. There is a lip on the pouch wall circumscribing the mouth, and an adhesive collar circumscribing the lip. The tubular wall of the adapter arrangement is received within the mouth, and the adhesive layer on the flange of the adapter arrangement secures the flange to the pouch lip.