English to Spanish Law/Patents Insurance

Se trata del texto de un folleto que describe los beneficios de seguro de un plan médico. El párrafo dice así:
If you receive a payment from the third party, and/or from an insurance company, employer or other agent, assign, or relative of the third party as a result of settlement or award for your injuries, the Fund will have the right to an equitable lien over the payment, and the Fund will have a RIGHT OF FIRST RECOVERY from the payment, without deduction of attorneys’ fees or costs, up to the full amount of the recovery.

¿Podría ser algo tan sencillo como “el derecho de primera recompensa?”

Como siempre, muchas gracias de antemano.