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