An apparatus for partially supporting a leaflet of a regurgitant heart valve includes at least one subvalvular device including a subvalvular supporting portion and an anchor portion. The subvalvular supporting portion and anchor portion are each at least partially formed from at least one of braided mesh strands of a first configuration, braided mesh strands of a second configuration, a balloon, a plurality of longitudinally extending struts, and a plurality of laterally extending struts. A connector neck is interposed longitudinally between, and is attached to both of, the subvalvular supporting portion and the anchor portion. The connector neck penetrates longitudinally through at least one of a base of the leaflet and an annulus of the heart valve at a manufactured puncture site.