An apparatus for partially supporting a leaflet of a regurgitant heart valve comprises at least one subvalvular device including a subvalvular supporting portion including a leaflet-contacting upper supporter surface longitudinally spaced from an oppositely facing lower supporter surface. A supporter perimeter wall extends longitudinally between the upper and lower supporter surfaces, with at least a portion contacting a subvalvular cardiac wall adjacent to the heart valve. An anchor portion is adjacent to, and longitudinally spaced from, the upper supporter surface. The anchor portion includes a leaflet-contacting lower anchor surface longitudinally spaced from an oppositely facing upper anchor surface. A connector neck is interposed longitudinally between, and is directly attached to both of, the upper supporter surface and the lower anchor surface. 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.