The medical devices, such as stent grafts, described herein preferably include a tubular remodelable graft material attached to a support frame formed at least in part from a metallic bioabsorbable material. The remodelable graft material preferably includes an extracellular matrix material such as small intestinal submucosa (SIS). The support frame attached to the graft is preferably a bioabsorbable magnesium alloy. The devices may be implanted within a peripheral vascular body vessel from a percutaneous delivery catheter.