Albiol has struggled for playing time at the Bernabeu and could be set to leave the club.
Marca claim that Atletico are lining up a surprise move for the player to strengthen their defence.
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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.