Andrea Stramaccioni is currently in the Inter hot seat but could be under more pressure if the reports are true.
Simeone played at Inter during his playing career and has made an impressive start to life as a manager with Atletico Madrid, whom he led to the Europa League victory last year.
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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.