Sclerotherapy on Slightly Bulging Leg Veins?

It is always a safe approach to first check the venous system, when veins are large, raised, bulging, to make sure that there is not a reverse connection between the superficial and deep systems of the veins. This is done by Duplex ultrasound. Many vascular surgeons, some dermatologists and plastic surgeons also do this. If there is not a reverse flow problem, than there is a higher level of comfort to proceed ahead with treatment.

Sclerotherapy should be effective on these veins, but I would recommend performing these procedures with a knowledgeable surgeon who is a diplomate of the American Board of Phlebology. 

Foam sclerotherapy should be very effective on your veins, One session is generally required, with a follow up 2-3 weeks later. Wearing a compression stocking will help the healing process. Excision and ligation is not done  anymore, whatever the size of the veins. Micro-phlebectomy is often done after treating the underlying problem with sclerotherpay or laser (EVLT) but not in your case. 

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.