Laser. You have the option of having these veins treated with a laser such as the 1064nm long pulsed laser. I also know of some physicians that will inject with a sclerosant. I tend to use the laserfor these.
Try eye creams. Although they are not very effective, some cosmetic eye creams can temporarily constrict the blood vessels in the eyelids. The only effective method i surgical removal, but this can cause more issues than it resolves. A concealer make-up is the safest method.