A method of making a side-to-side anastomosis includes making first and second holes through a first vessel, and second vessel, respectively, by receiving a jaw of a punch tool into exposed ends of the respective vessels, and then moving a punch tool toward the jaw and through the wall of the vessel. The vessels are joined with an elongate eyelet with a passage that matches a shape of the oval first and second holes. The long axes of the oval holes are oriented parallel to a longitudinal axes of the respective vessels.
