Broken blood vessels or capillaries on the face look like a network of tiny red lines that interconnect. Patients with broken capillaries often suffer from rosacea. These patients also blush and flush commonly. With repeated bouts of blushing and flushing, the facial blood vessels remain dilated, and broken capillaries become more apparent on the face which translates into a red face. Some patients with broken capillaries complain of burning and itchiness on the face as well.