A catheter (4) based medical system (1) and medical procedure for reducing cardiac valve regurgitation are disclosed. The system comprises a resilient curvilinear shaped annuloplasty implant (3) for reducing the size of a dilated annulus (18) of said valve for reducing said regurgitation having resilient anchoring elements (300), and a delivery device (2) for said annuloplasty implant (3) having a distal curvilinear shaped portion (200) that is hollow to mount said annuloplasty implant (3) and has an annular opening (201) arranged to be in apposition against an annulus (18) of said cardiac valve. The annuloplasty implant (3) is arranged to be releasable in said hollow and has said resilient anchoring elements (300) arranged in a restrained spring loaded delivery conformation in said hollow, and wherein said resilient anchoring elements (300) when released are arranged in a tissue engaging conformation protruding out of said opening.