Now inside the final year of his PSG contract, Mbappe has told management he has no interest in renewing his agreement.
Marca says Florentino is pleased and actively putting together a bid for the France international.
The president is willing to go as high as €150m to sign Mbappe, who would be offered a contract worth €25m-a-year. A signing-on bonus of €40m would be included in the package.
The move, however, is dependent on Real securing several senior sales, including Isco and Gareth Bale.
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