Di Carlo left after Chievo took just three points from 18 games.
The club lost 4-1 at Palermo at the weekend, but Corini is relatively inexperienced at the top level.
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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.