Paulinho has already revealed that he has an offer on the table from the Premier League side.
However the arrival of Carlo Ancelotti as Real Madrid coach will herald some transfer activity, with Paulinho reportedly a key target.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.