Under eye veins are very common and can be treated by many modalities including topical laser, sclerotherapy, microneedle RF, removal via microincisions and VeinGogh. With all the above methods more than one treatment may be necessary except for micro incisions.
My recommendation would be topical cosmetic laser on the face. This is more likely to eliminate this than sclerotherapy.H Karamanoukian MD FACScertified vein specialist from ABVLM and double board certified surgeon
Thank you for your question in regards to sclerotherapy. From your photo it appears that you could be developing skin necrosis. Follow up with your provider to discuss proper post care instructions. I hope this helps.