Sclerotherapy is a safe and well established treatment for thread veins on the legs. Although there are a number of alternative treatments, it remains the most reliable of them all. A special solution is injected into the veins with a tiny needle. Special compression stockings are worn after treatment for a period of time. The treated veins will eventually fade away and disappear. This treatment may have to be repeated 2-3 times depending on the severity of the problem.