The blue veins under the eye are caused due to broken blood vessels. The surgical options for removing them are too risky. You can disguise it by using a moisturizer that colors and hides the dark blue color. Moisturizers with ingredients like CybergyTK and Eyeliss are very effective in reducing the blue look. Bilberry supplements can also help as they strengthen the capillary walls. Yet another herbal remedy often used is Gingko Biloba. It prevents the weakening of blood vessels and increases circulation in the area. These are some of the healthy and non-risky options that you have for removing blue veins under the eyes.