I was in a minor car accident, at the time of accident, no one claimed they were injured. Pursuant to the telephone conversation we had on (date), please allow this letter to confirm we have agreed to settle my claim that is referenced above.Your letter should include a concise factual summary of the accident, an overview of your damages, your settlement demand, and not much more. Sample demand letter in a car accident injury case. Once your attorney makes sure the settlement is in your best interest, you can sign it. You must do this in the presence of a notary public. 3. Signing a consent form for medicare information to an insurance adjuster in a car accident settlement. Most car accident cases between the injured party and an insurance company settle out of court.