Spider Veins on Face

Treatment for facial spider veins generally consists of laser treatments such as the KTP, ND:YAG or pulsed dye lasers that target the red in the vessels or purple or blue color in the larger veins of the face. IPL treatments which is intense pulsed light may also be used. Sclerotherapy is rarely used due to the risk of embolization or breakage of small particles into the veins around the eyes that can result in blindness. While this risk is small, I would prefer to treat with the laser or IPL since it is safer and less risky.

Yes, it has been used but many have concerns about the veins surrounding the eye and therefore it is not generally recommended.
Lasers (KTP or pulsed dye), infrared, IPL and/or hyfrecators are the most popular methods of treating facial spider veins.
With any treatment modality, there is a relatively high rate of relapse and you should be prepared to perform additional treatments over the years.