Giggs recalls looking horns with the Italian when Juve and Manchester United faced each other in the Champions League.
“Back then, I could tell that Conte was a leader, and a very accomplished player,” Giggs told The Telegraph.
“He was made captain when Gianluca Vialli left for Chelsea in the summer of 1996.
“Conte got from box to box and he scored goals.
“That first night in Turin, he and Deschamps took the ball off me more times than I care to remember.
“When finally we played Juventus in the 1999 Champions League semi-finals, the pair of us scored our teams’ goals in the 1-1 first leg draw at Old Trafford.
“First of all, that Juventus team was built on an excellent defence, and that very aggressive pairing of Paolo Montero and Ciro Ferrara who are different players to the three whom Conte has at Chelsea but equally effective.
“All of those Juventus players knew their place in Lippi’s 4-3-3 system inside out which is why they made it work better than any other side.”