A system and method for sealing a percutaneous puncture extending into internally located tissue, e.g., the peritoneum, of a living being. The system includes a sealing device and a deployment instrument. In one embodiment the sealing device comprises a substantially rigid anchor, a resorbable holding member, a collagen plug, and a resorbable thin filament connecting the anchor, holding member, and plug. The anchor or the plug or both may be formed of a resorbable material having a non-resorbable mesh reinforcement embedded therein. The deployment instrument is operated to place the anchor in the interior of the peritoneum and the plug and the holding member in the puncture tract, with both ends of the filament extending out of the puncture. The extending ends of the filament are formed into a knot, a portion of which extends through the skin contiguous with the puncture, to lock the closure in place. The reinforced mesh of the closure reinforces any scar tissue which forms at the opening. In an alternative embodiment the sealing device comprises only the anchoring member and the filament.