Various news outlets in France have suggested that after opening talks the club are close to appointing the former France coach.
The Parisians, who won Ligue 1 last season, are looking to replace Real Madrid bound Carlo Ancelotti.
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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.