The main side effect of anticoagulants is the risk of excessive bleeding. Other side effects include: blood in the urine or feces, severe bruising, prolonged nosebleeds (lasting longer than 10 minutes), bleeding gum, blood in your vomit or coughing up blood, unusual headaches, sudden severe back pain, difficulty breathing or chest pain, in women, heavy or increased bleeding during the period, or any other bleeding from the vagina. Warfarin can cause rashes, diarrhea, nausea (feeling sick) or vomiting, and hair loss. Heparin can cause hair loss (alopecia) thrombocytopenia – a sudden drop in the number of platelets in the blood.