A stent/graft assembly includes a tubular graft connected in substantially end-to-end relationship with a generally tubular stent. Free ends of the stent and graft extend in opposite directions from the end-to-end connection during a pre-deployment orientation of the assembly. However, the graft is inverted during deployment so that free ends of the graft and the stent extend in substantially the same direction from the end-to-end connection in a post-deployment orientation. Thus, at least a portion of the stent is disposed within at least a portion of the graft in a post-deployment orientation of the assembly.