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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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.