In some embodiments, a method includes delivering to a native valve annulus (e.g., a native mitral valve annulus) of a heart a prosthetic heart valve having a body expandable from a collapsed, delivery configuration to an expanded, deployed configuration. The method can further include, after the delivering, causing the prosthetic heart valve to move from the delivery configuration to the deployed configuration. With the prosthetic heart valve in its deployed configuration, an anchor can be delivered and secured to at least one of a fibrous trigone of the heart or an anterior native leaflet of the native valve. With the prosthetic heart valve disposed in the native valve annulus and in its deployed configuration, an anchoring tether can extending from the anchor can be secured to a wall of the heart to urge the anterior native leaflet towards the body of the prosthetic heart valve.