Various methods employing transvascular access devices are described, including a method of placing a central catheter in a peripheral vein in an arm of a patient; a method of providing percutaneous access to the heart of a patient; a method of clearing a clotted arteriovenous dialysis graft; a method of creating multiple access points into a single blood vessel; a method of creating an AV fistula in a patient; and a method of providing a bypass to a blockage in a popliteal artery in a patient.