Sclerotherapy on Slightly Bulging Leg Veins?

Thank you for the question! Treating this particular area requires a great deal of finesse so I would recommend doing your research to go with an experienced board-certified specialist. Currently sclerotherapy is the treatment of choice when treating enlarged and bulging veins. It uses a sclerosing solution that causes the vein to shrink. Usually it takes only 1 to 2 sessions to achieve fading of the undesirable veins.  If your veins are particularly large, you may benefit from microphlebectomy. In the course of this treatment, I will make tiny incisions as small as 1mm to remove an undesirable vein.  He will then insert a small phlebectomy hook to extract the vein through the puncture.  Only a small section of the vein needs to be eliminated because the remaining portion of the vein will clot off and gradually fade from view. 
An in-person exam with a board-certified plastic surgeon is the best way to assess your needs and obtain expert medical advice. Best of luck!

It sounds as if you have blue or reticular veins which usually respond very well to foam sclerotherapy.  This is the treatment of choice for these kinds of veins.  Sclerosing solutions that can be foamed are in the detergent family and are usually polidocanol or sodium tetradecyl.