the term meaning a surgical incision into a vein is
Phlebotomy. phlebotomy phlebotomy In Medical and Surgical terminology a surgical incision into a vein is called venesection. Another type of vein surgery, called ambulatory ph â¦ lebotomy, creates an extremely small incision in the skin by the vein. A hook is then inserted through the tiny incision and is used to remove the vein. Laser surgery is often performed when the vein is too small to inject or remove. Light energy is sent into the vein in short bursts, slowly shriveling the vein.