Understand your options when the insurance company makes a lowball injury settlement offer, and see a claimant's sample response letter. Victims who want to respond to a low settlement demand offer must use factual information, persuasive arguments, and a professional tone.Rejecting a settlement offer signals to an insurer that you will advocate for a fair settlement value that matches your losses. Instead, you have to write a formal letter rejecting the settlement. If you disagree with the offer, you can decline it. However, rejecting a settlement offer isn't as simple as saying, "Sorry, I won't accept it." Our car accident lawyers provide a full guide to help you decide if you should accept the insurance company's offer after your crash. Send a demand letter. At the beginning of a claim, it is best to reject the settlement offer in writing. The insurance company may choose to pay the claim in full, deny the claim, or in most cases, make a lower settlement offer.