What are my options in treating this under eye vein? (Photo)

Hi!
Laser is definitely the best treatment choice. You want to be certain to go to a well trained board certified dermatologist that is well versed in laser technology. I perform this treatment in my office often, it takes about 10 min, and the vein is gone after on treatment. I use a long pulsed Nd:YAG laser. 

Facial veins such as this are best treated with topical or superficial laser, and they tend to respond very well, typically with just a few treatments. Sometimes, if we are fortunate, they may resolve with a single session only. If the laser does not resolve them, they can be treated with injection sclerotherapy, but we prefer to avoid this whenever possible, particularly right around the eye. You should see an experienced vein specialist to ensure that the correct type of laser is being used to treat your veins, and not just the skin.