Always reject a settlement offer in writing. Type a letter to your contact at the insurance company listing the reasons you think that their offer is too low.This letter should clearly state that the initial offer is unacceptable and refute any inaccuracies in the insurance adjuster's statements. Request to begin debt settlement negotiations. If the collection agency or creditor rejects your offer, don't lose hope. We will only consider an Offer in Compromise Request after a review of your assets, liabilities, income and expenses. Who Does NOT Qualify. I wish to file an appeal concerning. 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."