An implant and method for repairing and/or replacing functionality of a native mitral valve are in various embodiments configured to reduce or eliminate mitral regurgitation and residual mitral valve leakage. A coiled anchor with a central turn that reduces in size upon implantation is used to approximate the amount of reduction in the size and the reshaping of the native mitral annulus to reduce valve leakage. A clip can be further applied to the native valve leaflets to reduce the size of the native mitral annulus and leakage therethrough. A prosthetic heart valve can be implanted in the coiled anchor to replace and further improve functionality of the valve. In some cases, the prosthetic valve can be implanted in a clipped valve, where the clip is detached from one of the native valve leaflets to provide space for the prosthetic valve to expand.
