Juve have now not tasted defeat in 45 league matches, and went ahead through Andre Pirlo early on.
Further goals from Arturo Vidal and Alessandro Matri put the game beyond Roma, who responded through Pablo Osvaldo, but Sebastien Giovinco then netted a fourth late on for Juve.
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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.