Ramos is being heavily linked with a move away from Santiago Bernabeu after entering the final year of his current deal.
The 34-year-old will be free to speak with any potential suitors in January, and PSG are reportedly leading the race for his services.
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Goal has reported that Ramos is eager to commit to Madrid through to 2023 while remaining on his current salary, but the two parties have yet to reach a final agreement.