Hello dear user, thanks for consulting Healthcaremagic and sharing your query, the most common cause of nosebleeds are allergies, living in a hot dry indoor climate ( specially forced hot air during the winter) Exposure to irritating chemicals, heavy alcohol use, anticoagulant treatments, trauma, and some diseases such as high blood pressure. I thought in your case is due to Aleve, that drug interfere with blood clotting. Anyway I recommend you to check up your blood pressure, drink some vitamins supplements, keep hydrated and discontinued the Aleve. if the nosebleed persist a doctor should be consulted Please kindly rate if my advise has been helpful Wishing you a good health Dr Tania Portelles-Driggs