Allegri told Juve to 'get a sense of humour'.
"I'm always calm," Allegri told the Gazzetta dello Sport. "It's just that Juve took one or two of my jokes a little too seriously.
"Someone over there should study humour. I'm lucky enough to be from Livorno. Humour comes naturally to me."
Bianconero director Nedved wasn't impressed.
"Our creed here is to be winners, not be nice," the former Juventus and Czech Republic midfielder told Sport Mediaset.
"We take everything seriously here," he added. "Being seen as pleasant is not our aim, being successful is."