A prosthetic heart valve includes a collapsible and expandable stent having a proximal end and a distal end, and a collapsible and expandable valve assembly, the valve assembly including a plurality of leaflets connected to at least one of the stent and a cuff. The heart valve further includes a conformable band disposed about the perimeter of the stent near the proximal end for filling gaps between the collapsible prosthetic heart valve and a native valve annulus.