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Real signed their first player for a transfer fee since 2019 when they snapped up Eduardo Camavinga during the summer transfer market.
The European giants continue to be linked with superstar talents like Kylian Mbappe, Erling Haaland and Paul Pogba.
And another name could be linked with them in the near future after his former manager revealed that he dreams of a return to the Spanish capital.
According to Conte, Achraf Hakimi 'dreams' of a return to Real following a short spell at the club earlier in his career.
The Italian told Sky Italia via Football Espana: "Hakimi's dream is to return to play at Real Madrid."
Of course, Hakimi signed for Paris Saint-Germain this summer in a deal worth a reported £54 million.
PSG lured him to France after the 22-year-old starred at Inter, helping them win the Serie A title last season.
Hakimi has been a revelation since leaving Real.
He was phenomenal on loan at Borussia Dortmund which alerted Inter, who acquired the Moroccan international on a permanent deal.
Hakimi has already produced heroics for PSG since his big summer transfer, with there being so much expectance on the star-studded team this season.
Will the right-back return to Real? Watch this space.