Here is everything you need to know about subrogation claims, a type of thirdparty claim. How Long the Process Takes.Insurance companies can utilize this letter template to seek reimbursement from the person or entity legally responsible for a loss. Subrogation is the legal process where The Hartford, as your car insurance company, settles a claim on your behalf. The idea of claim subrogation is to obtain reimbursement for your losses quickly and to prevent you from recovering your damages more than once. Subrogation is a legal action that an insurance company (the insurance carrier) takes to recoup the funds paid out in a claim from the atfault party. Auto insurance subrogation is a process where your insurance company compensates you first, then seeks reimbursement from the at-fault party to an accident. The Plaintiff, above named, complaining of Defendants, above named, alleges and says as follows: 1. EXAMPLE: John has car insurance with State Farm. Bob rear ends John on the road causing damage to John's car.