A cuff for attachment to a heart, comprising a member (122 322 622) defining an opening (130 330 630) a linking member (124 324 624) coupled to the member (122 322 622) and disposed about the opening (130 330 630) and an attachment member (126 326 626) coupled to the linking member (124 324 624) and disposed about the opening (130 330 630), the linking member (124 324 624) extending about an outer surface of the attachment member (126 326 626), the attachment member (126 326 626) configured to attach the cuff to a cannula disposed through the opening (130 330 630), the attachment member (126 326 626) having at least one flanged portion (146 406 646) extending outward from the opening (130 330 630) in a plane generally perpendicular to a circular portion of the attachment member (126 326 626).