Is it possible to remove a large blue vein on my face (side)? (photo)

This can typically be improved with a long pulsed yag laser , I would avoid sclerotherapy.  Best, Dr. Emer.

This is a common problem and is seen routinely in large vein practices such as ours. Given the picture you provided, sclerotherapy would be the best option. Vein specialists who have taken care of these will tell you up front that it will take MORE than 1 session of sclerotherapy to take care of such veins. It is not likely that 1 session will eliminate this vein on the face. Good luck and hope you find someone who has some experience doing sclerotherapy on facial veins. When you discuss pricing with the physician, make sure you discuss up front if the treatment cost is for 1 session, 2 sessions or 3 sessions. 

The first thing you
need to do is to consult with a board-certified dermatologist or plastic
surgeon who is an expert in laser therapy. This kind of vein is not normally
treated with sclerotherapy, as there are too many risks with this treatment in
this area. Laser therapy works really well, with a skilled provider, and the
1064 nm Nd: YAG laser is the best bet here.