Simeone has worked wonders since his arrival at the club last year, leading them to the Europa League, and they currently lie second in the Spanish league.
El Mundo Deportivo report that the Argentine is set to be offered a new deal during the winter break.
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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.