Abstract: An endoluminal side branch graft comprises a generally tubular body having a proximal part with a proximal opening, a distal part with a distal opening, and a middle section extending between the proximal and distal parts, at least one of the proximal or distal parts has fixing means for fixedly positioning the side branch graft to a main branch graft, the fixing means having a delivery configuration and a stable fixing configuration. A primary graft is first introduced to a site in the body conduit having a side branch. The position of the side branch which has been closed off by the primary graft is mapped and an opening is provided in the primary graft at the mapped position of the side branch. A side graft is introduced into the side branch and fixed to the primary graft.