Understand your options when the insurance company makes a lowball injury settlement offer, and see a claimant's sample response letter. Unfortunately, I have decided not to accept the position, as it isnt a good fit for me at this time.How do you politely decline a job offer professionally? A denial letter is a letter you write rejecting an employee's request. The first step in rejecting a low settlement offer is to write a letter to the insurance company stating the rejection. I want to thank you for the offer. The main purpose of your rejection letter is to move the negotiation forward. The adjuster's offer and your reply letter are just part of the process. To reject the initial offer, you will create a counteroffer and send it via mail to the insurance company claims adjuster. The verdict is still out on whether or not the reservoir was a good or bad investment.