A cardiac valve prosthesis for implantation at a native valve having leaflets includes a distal fixation member configured to be implanted downstream of a native valve and includes engagement arms configured to apply, to a native valve's downstream side, a first force directed upstream, when the distal fixation member is implanted. The number of engagement arms matches the number of native valve leaflets. The prosthesis also includes a proximal fixation member configured to be implanted at least partially upstream of the native valve such that the proximal fixation member applies, to a native valve's upstream side, a second force directed downstream when the proximal fixation member is implanted. The application of the first and second forces is configured to couple the prosthesis to the native valve. The engagement arms and the proximal fixation member are configured to capture the leaflets of the native valve therebetween.
