Often1

Make sure that there isn't a time limit for notification for your own auto insurance and same for the credit card used and any other coverages which might exist.

First, these are pros at spotting and dealing with fraud. Your own carrier may be your most powerful ally.

Second, in the final analysis, if you lose, you don't want to be stuck eating 100% of the claim personally.

Third, if this was work-related, make sure your employer's carrier knows. Again, they can be helpful and, if the claim against you succeeds, better to have coverage than not.