Methods and apparatus for treating or preventing endoleaks after an endovascular graft (e.g., a 
stent, tubular graft, 
stent-graft, coated 
stent, 
covered stent, intravascular flow modifier or other endovascular 
implant that affects, limits or prevents 
blood flow into a vascular defect such as an 
aneurysm, arterio-venous 
fistula, arterio-
venous malformation, vessel wall perforation, etc.) has been implanted in the vasculature of a human or 
veterinary patient. An expansile polymeric material, such as a swellable 
polymer (e.g., a hydrogel), a flexible or elastomeric 
polymer foam (e.g. 
silicone, 
polyurethane, etc.) or a carrier member (e.g, a coil, filament, wire, etc) that carries a quantity of such expansile 
polymer is delivered into a perigraft space (i.e., space between the endovascular graft and the surrounding 
blood vessel wall) such that the polymeric material expands in situ to substantially fill the perigraft space or a portion thereof. The expansile polymeric material is delivered into he perigraft space through a 
catheter and / or cannula that is placed prior to, during or after the implantation of the endovascular graft. The invention includes an 
injector apparatus that is useable to deliver the expansile polymeric material through the wall of a previously implanted graft. After delivery into the perigraft space, the expanded polymeric material expands so as to fill all or an intended portion of the perigraft space in a manner that substantially prevents additional blood from leaking or flowing into such perigraft space. One type of blood-absorbing, porous, expansile polymeric material useable in this invention is a super-expansile hydrogel.