Several options are available to remove spider veins — thin red lines or weblike networks of blood vessels that appear on your legs and feet. Spider veins are smaller, red, purple, and blue vessels that also twist and turn. Spider veins are easily visible through the skin, as well. They are typically visible on the legs and face. They are often red, blue, or purple; and they have the appearance of a spiderweb. They are commonly found on the face and legs.