Embodiments of the present invention provide medical devices and methods fortreating a target site within thebody, such as for treating vascular abnormalities. For example, one embodimentprovides a stent graft including an occlusive materialhaving a preset, overlapping configuration comprising at least three invertedoverlapping layers that are folded over one another.The at least three inverted overlapping layers are configured to be separatedand disposed within a catheter in a non-overlappingconfiguration and return to the preset, overlapping configuration whendeployed from the catheter.