A heart valve prosthesis is provided that includes a first member and a second member. The first member comprises a first central portion to be disposed adjacent to a line of coaptation on a first side of two adjacent heart leaflets and peripheral portions to be placed into direct contact with the two adjacent heart leaflets. The second member is separate from or can be separable from the first member, for example during delivery. The second member has a central portion and peripheral portions configured to be placed into direct contact with a second side of the two adjacent heart leaflets.