A Case Study in Subrogation​​ Suppose, for example, that you suffer an injury in a car accident with Joe. As a specific example, an insurance company that did not actually pay out a claim to the policyholder has no grounds for a subrogation claim.Subrogation means your insurance company steps into your shoes after they've paid out a claim. Subrogation claims reimburse health insurance companies for medical bills they pay in an NYC personal injury case. Learn more about subrogation claims here. A Subrogation Letter should clearly state the facts of the case, including details of the incident (e.g. A notice of claim must be filed in writing. "Subrogation" refers to the act of one person or party standing in the place of another person or party. Car insurance subrogation lets insurance companies recoup the cost of claims from the at-fault party. It can affect your deductible and auto insurance premiums.