De Telegraaf says Real Madrid are keen on acquiring Senesi's services in the next transfer window in the summer.
However, Feyenoord are not keen to part ways with the Argentine, whom they have valued at 35 million euros.
Their idea is to renew his contract until 2025 and introduce a 50m euro buyout clause for potential suitors.
Real Madrid will make an official offer in the coming months as they believe that Senesi will be Argentina's starting centre-back in the future.
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