Uninsured motorist bodily injury (UMBI). Uninsured motorist bodily injury (UMBI) coverage helps cover the medical bills of you and your passengers if you're injured in a car accident.If you filed an uninsured motorists claim, you need evidence that the person did not have auto insurance at the time of the collision. There are two types of uninsured motorist coveragebodily injury and property damage. Filing a Personal Injury Claim Against an Uninsured Driver. Uninsured motorist coverage fills this gap, offering an additional layer of financial security. Does uninsured motorist insurance cover hit-and-run accidents? Were you injured in a car accident? If the crash caused property damage only, you must exchange information about your driver license, insurance, and registration with the involved drivers.