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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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.