The idea of claim subrogation is to obtain reimbursement for your losses quickly and to prevent you from recovering your damages more than once. Detailed Instructions.From — Enter the name of the eligibility specialist completing the form. Place 3rd Party on notice with Initial Subrogation Lien Letter. What should you do after getting a subrogation letter? Read our blog to find out. Hurt? Subrogation is a legal process that allows your car insurance company to recover money from the atfault party or their insurer. If an insurance company filed a subrogation claim for property damage against you, a skilled property damage attorney could can help you. Subrogation is the legal process where The Hartford, as your car insurance company, settles a claim on your behalf. As part of the car insurance claims process, your insurer will tell you if it will file a subrogation claim.