You claimed that I was as much at fault in the accident as your insured. To reject the initial offer, you will create a counteroffer and send it via mail to the insurance company claims adjuster.Sample Letter: Rejecting a Low Settlement Offer​​ I received your letter dated (date) with your offer of settlement. Rejecting a settlement letter could either lead to further negotiations or to a courtroom trial where you seek a jury award for your losses. Were you involved in a car accident with a careless driver in North Carolina? In addition to stating your reasons, outline what you believe would be a fair settlement and request further negotiations. This helps the insurance company quickly identify and file your letter correctly, potentially speeding up the process. If the insurer declines to improve their offer, an attorney can respond with a demand letter. I was in an accident and my car was deemed a total loss. Now my car was in very good condition inside and out.