Can You Die From A Burst Varicose Vein? It’s very rare for a varicose vein to burst, however if it does happen it’s usually the result of bumping the leg. As a varicose vein gets larger, the wall of the vein gets thinner so the skin becomes more delicate. If in the rare event your varicose vein does burst, apply pressure to the area. If the bleeding doesn’t stop, seek medical attention – you may need to call an ambulance.