Inter had been 2-0 up thanks to goals from Fredy Guarin and Rodrigo Palacio.
But a goal from Alessandro Diamanti and an equaliser from Manolo Gabbiadini sent the game to extra time, where Andrea Ranocchia won it for Inter in the very last moments.
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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.