This is an example of how subrogation works: EXAMPLE: John has car insurance with State Farm. Bob rear ends John on the road causing damage to John's car.A Subrogation Letter should clearly state the facts of the case, including details of the incident (e.g. Click here to file a complaint online through our website. If you have a question about filing a complaint you can call us at 1-800-492-6116. Here is everything you need to know about subrogation claims, a type of thirdparty claim. How Long the Process Takes. Fill out the form below about your potential case and a personal injury lawyer will get back to you as quickly as possible. The Plaintiff, above named, complaining of Defendants, above named, alleges and says as follows: 1. Hi, I was in a car accident six months ago in which the other party was at fault in New Mexico.