A mitral valve prosthesis (200) includes a self-expanding frame (202, 204) and two or more engagement arms (206). A valve prosthesis (not shown) is sutured to the self-expanding frame. Each engagement arm corresponds to a native mitral valve leaflet. At least one engagement arm immobilizes the native leaflets, and holds the native leaflets close to the main frame. The prosthetic mitral valve frame also includes two or more anchor attachment points (208). Each anchor attachment point in implanted state is attached to one or more anchors that help attach the valve prosthesis to the heart.
