The present invention relates generally to medical devices and methods for sealing and closing passages formed through tissue. More specifically, the present invention relates to devices for sealing or closing an opening formed through biological tissue comprising a distal or outside margin or surface, and a proximal or inside margin or surface (i.e., a wall thickness), and to apparatuses and methods for delivering such devices, to control (or prevent or stop) bleeding (or the flow of other biological fluid or tissue). The openings comprise percutaneously formed punctures, incisions, or other openings formed through biological tissue, such as in blood vessels, organs, and the like.