Disclosed are methods for treating endoleaks arising from endovascular repair of abdominal aortic aneurysms. The disclosed methods involve the in situ sealing of endoleaks after placement of an endovascular prostheses in the abdominal aorta. Sealing of endoleaks is achieved by injection of either a biocompatible polymer or prepolymer fluid composition into the endoleak which composition in situ solidifies to seal the leak. Preferably, the biocompatible fluid composition comprises a contrast agent to allow the clinician to visualize the sealing process.