Both goals came from Arturo Vidal, the Chilean firing the Bianconeri to a crucial win.
The champions are now 11 points clear of second place Napoli, and are on course to retain their title.
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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.