Deep-set eyes are eyes that appear to be set farther into the skull than usual, creating the illusion of a more prominent brow bone. To determine if you have deep set eyes, place your index finger over your eye, touching your eyebrow. If your eye can stay open without your eyelashes touching your finger, then you my have deep-set eyes. With deep-set eyes the upper eyelids may appear to be hidden. The eyes themselves seem to have an intense look, because the eyebrows appear to be quite close to the eyes.