Hi, I can understand your concern for deep purple bruise inside your lip. After reading your query it appears to be simple process which is known as trauma induced ecchymosis . In most of the circumstances these bruises fades by itself and are normal in its appearance after few days of time. You can take a pain killer like paracetamol for 2 times day. Apply a cream containing Thrombophob Gel (Heparin Sodium IP) very lightly on the affected area. Additionally take chymo-trypsin tablets three times a day. The marks will fade by itself in next 14 days, so there is no need to cut open and drain the wound. Hope these information will relax you. Take care.