Vasculature closure devices, and systems and methods for their use, are provided. In one or more embodiments, a vasculature closure device (200) includes an expandable support frame (210) deployable within a vessel (10), and a sealing membrane (205) at least partially supported by the support frame (210). Upon expanding the support frame (210) within the vessel (10), the device is configured to intraluminally position the sealing membrane (205) against a puncture site existing in a wall of the vessel. The sealing membrane includes an area of excess membrane (245) configured to facilitate coupling of the sealing membrane to the wall of the vessel.