Knowing When to Reject an Offer. 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." If you decide to reject the settlement offer, you'll need to do so in writing. 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. An example of a without prejudice save as to costs settlement offer letter from a claimant (with drafting notes), also known as a claimant's Calderbank offer. Produce and freight, and that the loads were sold with no set price, but that settlement on them was never properly achieved. 8. Thirtysix percent of all complainants in San Jose file their cases with an independent police auditor rather than with the police department. Use this letter to help you negotiate a full and final settlement offer with a creditor.