A leg extension (10) for a stent grafting system to connect between an aortic graft and an iliac graft. The leg extension is a tubular body (12) of a biocompatible graft material with self-expanding stents connected along the length of the tubular body and the tubular body having a distal end with a connection region. The connection region has a flared stent defining an external frusto-conical surface to provide a connection arrangement to engage within an internally flared portion of an iliac graft.