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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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.