Does subrogation vary from state to state?

Does the process of subrogation varies from state to state or if the process is straight forward?

Subrogation occurs when an insurer pays an insured for a loss caused by a third party. The insurance company is then “subrogated” – or steps into the shoes of the insured – to sue that third party for the loss suffered by the insured.  The process is straightforward and doesn't vary by state.