A surgical assembly including a flexible shell that defines a flexible sheet-like structure with a major top wall opposite a major bottom wall. The top wall is impermeable to air flow therethrough and has a first set of holes that allow for air flow therethrough. The bottom wall is impermeable to air flow therethrough and has a second set of holes that allow for air flow therethrough. A first fluid path supplies a source of suction to the first set of holes in a manner that is independent to suction supplied the second set of holes. A second fluid path supplies a source of suction to the second set of holes in a manner that is independent to suction supplied to the first set of holes. The supply of suction to the first set of holes is used to engage and hold tissue adjacent the top wall by suction forces applied through the first set of holes. The supply of suction to the second set of holes is used to engage and hold tissue adjacent the bottom wall by suction forces applied through the second set of holes. The tissue that is engaged adjacent the top wall is sealably disposed about the first set of holes, and tissue that is engaged adjacent the bottom wall is sealably disposed about the second set of holes.