From the facts you stated, by definition your car was "stolen" because it was taken without your permission and therefore it was not insured by you (your insurance policy) at the time of the car accident. So, you should not have to be concerned and all the other people involved in the car accident can make claims through their own car insurance coverage under their "UM" (Uninsured Motorist) coverage of their policies. All the best to you.
Answered on Oct 08th, 2015 at 3:02 AM