When writing the counter offer, be sure to include an explanation of why you are requesting a higher amount than what was originally offered. Be respectful in your language and formal in tone. You should also provide evidence such as medical bills and receipts that show how much you have paid or will pay out-of-pocket due to the accident. To write a counter offer for a car accident settlement, draft a letter that clearly summarizes the adjuster's offer and states that it is rejected. Include explanations for why the original offer was too low, attaching any relevant documents, and make a polite, respectful counteroffer request for a higher amount.