Car Accident Private Settlement Letter – What to Know. The private settlement letter follows an agreement between individuals who have been in a car accident.The affidavit requests the negligent driver to identify all of his or her vehicles and whether any potential family members have insurance coverage. I crafted a demand letter, from a combination of many templates I found online. Receive from your insurance company an acknowledgment of your reported claim within 7 days after the time you communicated the claim. Your letter should include a concise factual summary of the accident, an overview of your damages, your settlement demand, and not much more. This page focuses on how to write an effective settlement demand letter to the insurance company in an auto accident case to maximize your settlement amount. If you've been involved in a fenderbender you may be able to settle without insurance. 2024 Legislative Session. The first check you get from your insurance company is often an advance against the total settlement amount, not the final payment.