If you decide to reject the settlement offer, you'll need to do so in writing. A reasonable counteroffer is a key component of your rejection letter that you must include for the insurance adjustor to increase your settlement.Decline a job offer politely with our job offer rejection letter template. Say no gracefully and maintain a positive relationship. 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. Use these sample letters for declining a job offer as a starting point to fill in your details. I want to thank you for the offer. Victims who want to respond to a low settlement demand offer must use factual information, persuasive arguments, and a professional tone. Unfortunately, I have decided not to accept the position, as it isnt a good fit for me at this time.