It sounds like you've been caught in a frustrating situation with your car rental company. Given that you've already provided the police report from the accident, it's understandable that you're puzzled by why they're still giving you a hard time about the damages. One option could be to try to facilitate direct communication between the rental company and the other party's insurance provider. You've already provided the other driver's contact information, so it might be worth encouraging the rental company to reach out to them directly to resolve the issue. Additionally, you could ask the rental company for a clear explanation of their position and request any relevant documentation or evidence they have regarding the damages and insurance coverage. Keeping communication open and respectful might help in navigating through this frustrating situation.