Safest way to remove an under eye vein?

Very good question.  A good vascular laser in the hands of a good vein doctor, like the Cutera Excel V 1064 Nd-Yag laser is your best option.  I would stay away from sclerotherapy.  There are many complex vein connections and you could end up with a major complication if someone were to inject sclerosant into a periorbital vein.  Likewise, microphlebectomy in that area is extremely hazardous, except perhaps in the hands of oculoplastic surgeons.  Such a surgical procedure would likely be overkill.  Find a skilled vein doc in your area with an Excel V.

Thank you for your question. We use the gentlemax laser on the 755nm Alexandrite wavelength to safely and effectively treat the blue veins under the eyes. It would be best to get a consult in office for an evaluation of your vessels to see if you would be a good candidate.