Embodiments of a method for implanting a prosthetic valve at the native mitral valve region of the heart, the prosthetic valve including a main body that is radially compressible to a radially compressed state and self-expandable from the compressed state to a radially expanded state. The prosthetic apparatus also comprises at least one ventricular anchor coupled to the main body and disposed outside of the main body with a leaflet-receiving space between the anchor and an outer surface of the main body to receive a native valve leaflet. Apparatus for delivering and implanting the prosthetic valve are also described.