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.In this article, find out the proper way to do this. Sample Letter: Rejecting a Low Settlement Offer​​ I received your letter dated (date) with your offer of settlement. Mayor Jack Edwards asked that we remember the people who serve you every day, our police, fire and emergency personnel. The settlement monitoring data to the NCDOT prior to issuing the release letter.