Understand your options when the insurance company makes a lowball injury settlement offer, and see a claimant's sample response letter. Most settlement offers will come with an expiration date, ranging from a few days to several weeks, after which the other party can withdraw the 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." Ultimately, it's up to you -- but I wouldn't accept any settlement offer without at least talking with a lawyer about your options. I crafted a demand letter, from a combination of many templates I found online. If you decide to reject the settlement offer, you'll need to do so in writing.