A delivery device (30, 220) for percutaneously deploying a stented prosthetic heart valve, the device comprising: an inner shaft assembly including an intermediate portion providing a coupling structure configured to selectively engage a stented prosthetic heart valve; a delivery sheath capsule slidably disposed over the inner shaft assembly and configured to compressively contain a stented prosthetic heart valve; and a recapture sheath (32, 202) slidably disposed over the inner shaft assembly, the recapture sheath (32, 202) including a funnel segment (42, 206) extending distally from a shaft, the funnel segment (42, 206) including: a plurality of circumferentially spaced runners (60, 209) each attached at a first end to the shaft and terminating at a distal tip opposite the shaft, a polymer overlay (210, 62) surrounding the runners (60, 209), the overlay (210, 62) being bonded to the shaft and free of bonding to at least the distal tips, wherein the funnel segment (42, 206) is transitionable from a normal condition to an expanded condition in which the funnel segment (42, 206) has a funnel shape with a distally increasing diameter, the funnel segment (42, 206) being self-transitionable from the expanded condition toward the normal condition; wherein the system is configured to provide a delivery state in which the capsule compressively retains a stented prosthetic heart valve over the inner shaft assembly and the funnel segment (42, 206) is longitudinally displaced from the stented prosthetic heart valve. an inner shaft assembly including an intermediate portion providing a coupling structure configured to selectively engage a stented prosthetic heart valve; a delivery sheath capsule slidably disposed over the inner shaft assembly and configured to compressively contain a stented prosthetic heart valve; and a recapture sheath (32, 202) slidably disposed over the inner shaft assembly, the recapture sheath (32, 202) including a funnel segment (42, 206) extending distally from a shaft, the funnel segment (42, 206) including: a plurality of circumferentially spaced runners (60, 209) each attached at a first end to the shaft and terminating at a distal tip opposite the shaft, a polymer overlay (210, 62) surrounding the runners (60, 209), the overlay (210, 62) being bonded to the shaft and free of bonding to at least the distal tips, wherein the funnel segment (42, 206) is transitionable from a normal condition to an expanded condition in which the funnel segment (42, 206) has a funnel shape with a distally increasing diameter, the funnel segment (42, 206) being self-transitionable from the expanded condition toward the normal condition; a plurality of circumferentially spaced runners (60, 209) each attached at a first end to the shaft and terminating at a distal tip opposite the shaft, a polymer overlay (210, 62) surrounding the runners (60, 209), the overlay (210, 62) being bonded to the shaft and free of bonding to at least the distal tips, wherein the funnel segment (42, 206) is transitionable from a normal condition to an expanded condition in which the funnel segment (42, 206) has a funnel shape with a distally increasing diameter, the funnel segment (42, 206) being self-transitionable from the expanded condition toward the normal condition; wherein the system is configured to provide a delivery state in which the capsule compressively retains a stented prosthetic heart valve over the inner shaft assembly and the funnel segment (42, 206) is longitudinally displaced from the stented prosthetic heart valve.