A system for implanting a heart valve that includes a radially self-expandable tubular body having an inflow end and a preformed groove disposed at an outer surface of the tubular body between the inflow end and the outflow end, wherein the preformed groove extends at least partially around the tubular body and having a circumferential opening facing radially outward of the tubular body. A valve may be disposed within and attached to the tubular body. Additionally, a trapping member may be configured to form at least a partial loop encircling the preformed groove so as to trap portions of native valve leaflets and/or chords in the preformed groove, the trapping member including one or more barbs.