Uninsured motorist property damage (UMPD): This pays for the damage to your car from an accident with an uninsured driver who is at fault. In order to file an uninsured motorist claim, you must demonstrate that the other driver was at fault and that the motorist was not insured.Report the accident to your insurance company immediately and file a claim under your uninsured motorist coverage. Uninsured motorist bodily injury (UMBI) coverage helps cover the medical bills of you and your passengers if you're injured in a car accident. Uninsured Motorist Accidents. If you are in an accident with an uninsured motorist, contact Olan Law to find out how to use your uninsured motorist insurance for compensation. Uninsured motorist bodily injury (UMBI):. The law in California requires all drivers take financial responsibility to cover damages and injuries that may be caused in an accident. What Should I Do After a Los Angeles Car Accident With an Uninsured Driver? Schedule a Free Consultation With Our Los Angeles Personal Injury Lawyers.