After careful consideration, I must reject this offer as it does not meet my needs based on the severity and ongoing nature of my injuries. Victims who want to respond to a low settlement demand offer must use factual information, persuasive arguments, and a professional tone.Understand your options when the insurance company makes a lowball injury settlement offer, and see a claimant's sample response letter. Rejection of a "reasonable" settlement offer will result in the rejecting party paying its opponent's litigation costs. You can and should challenge the offer you receive with the aid of an experienced personal injury lawyer. This is a sample letter seeking a reduction in a medical lien. This article will make the process of responding to a debt lawsuit a little bit easier and tell you how to answer a summons for debt collection in Texas. Awarding Litigation Costs. (a). Generally. The last thing the insurance adjuster wants is to have to defend a lawsuit filed against their insured. In a civil case, the notice of appeal must be filed with the US District Clerk's Office within 30 days after the judgment is entered.