The present invention relates to an external heart device, having a layeredband dimensioned to be received around a patients heart, which also includesat least one fillable chamber between the layers in the band that functions toapply localized pressure to the outside of the heart when filled. More particularly,the fillable chambers are positioned such that they exert an inward radial forceon a heart valve. Areas between the fillable chambers may also be sized and positionedto form a bridge of little to no pressure over the vascular structures of the heart.