Is there anything I can do for dilated red veins or vessels under the sclera of the eye?

Many months ago I used a computer for too long and my eyes went bloodshot. While most of the redness cleared up, all that eye straining left me with very scary and unsightly red veins in the eyes. Sometimes they cause minor pain if I use a computer, and feels like I'm always straining. I have used eye drops to no success. Is there anything I can do about this?