A repair device (10) for affixing a migrating stent graft (30) to the interior surface of a vessel wall (31). The repair device includes tubular graft (11) with a bare or uncovered stent (16) affixed to the proximal end (12). The bare stent includes a plurality of distally pointed barbs (17) for securing the repair device to a vessel wall. A second stent (15) is positioned in the passage (14) of the tubular graft to expand the graft against the interior surface of the migrating stent graft (30). Proximally pointing barbs (20) are affixed to the struts of the second stent and extend through the graft material for securing the repair device to the migrating stent graft. Biological glue (22) and other sealing material (23) can be applied to the tubular graft and/or stents for sealing the repair device against the vessel wall and/or the interior of the migrating stent graft.