However, Leicester City want to keep the player, especially after proving how good he can be on the highest stage- the World Cup.
And Mahrez - who spent the a year ago agitating for a move away from Leicester - has stirred the fire.
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Liverpool FC finished in fourth place in the Premier League table last season as they secured Champions League qualification for next season.
Mahrez temporarily stopped training after the Foxes refused to lower their reported £95million asking price for the Algerian and City pulled out of a potential deal.
He said: "After what City have done, it's incredible work", he said.
The Premier League outfit have been linked with a number of replacements in the form of City's Patrick Roberts and Lyon's Bertrand Traore, however Tuttosport have claimed they are now looking at Falque as a solution to their problems.
The deal to take him to the King Power Stadium, from then recently relegated Hull, cost just £17 million but he would now be worth almost triple that price. Now I'm here and it's the most important. I'm starting a new challenge and a new life. "If I'd moved sooner maybe I wouldn't have been happy, I don't know". "It's a good thing".
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Guardiola already has an impressive number of attacking choices to pick from with Sergio Aguero, Gabriel Jesus, Raheem Sterling and Leroy Sane firing City to 100 points with a record 106 goals last season. It is a goal.
"That's why I'm here, why I made the decision to come here, because I want to be part of this".
"I'm very happy to be here, to have signed for this club", he told City's official website.
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There will always be adversaries who work to exacerbate domestic differences and try to confuse, divide, and conquer us. Trump and Putin are scheduled to hold talks Monday in Finland, a meeting largely sought by Trump.