After you have been involved in an accident that was not your fault, you may be able to demand compensation for your medical bills from the at-fault party. However, while you wait to resolve your claim, you may be able to seek coverage under your own health insurance. If you have been in a motor vehicle accident and you have a motor vehicle policy, you may also have Med Pay coverage. Med Pay covers a portion of medical bills regardless of who was at fault in the accident. An attorney can help you evaluate these options.