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.Thank you for calling this office to inquire about your potential case. 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." The first step in rejecting a low settlement offer is to write a letter to the insurance company stating the rejection. With regards to the financial affidavit, I would suggest that you fill it out truthfully and return it. In Arizona, the atfault driver's insurance is primarily responsible for covering the medical costs of those injured in a car accident. Your attorney will need to stand up for you when the settlement offer is low. The lawsuit arrives as U.S. renters continue to struggle under a merciless housing market, with incomes failing to keep up with rent increases.