Had a similar thing happen several years ago in Riverside. A guy didn't see my car, veered into my lane and basically ripped the rear passenger side door off my car. We both pull into a gas station to talk, but he spoke zero English and my Spanish is very rough. I wrote down his name, phone number, and plate number, and copied the info from his insurance card. I also called the police to make a report, but they wouldn't come out because there were no injuries.
In the end, here's what happened: The guy's phone number was fake, and his insurance company was fake. I'm guessing he was illegal. I paid my $500 deductible, and obviously was never reimbursed by the fake insurance company. And seeing as I had absolutely no way of finding this dude, I was left with no recourse. Bottom line, if you want the cops to come for an accident report, just claim you think you saw a handgun in the other person's car.