It's easy to spot broken capillaries, particularly on someone's face. Dozens of tiny veins twist, dilate and break, creating red, bruise-like spots on the face. But unlike bruises, broken capillaries don't heal and disappear over time. They are also difficult to treat.ot all causes of broken capillaries are preventable. They can sometimes accompany general rosacea, a skin condition that causes the face to become red and flushed. While rosacea outbreaks often have triggers, these triggers can be difficult to identify and are unique to each person who has the condition.