He was back for the first time since October's betting ban and hit the crossbar in the 2-0 win.
Montero later said: "Fagioli has returned very well and is a player who always knows how to position himself on the pitch and lend a hand to the team.
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"Luckily he was called up by (Italy coach Luciano) Spalletti.
'He can become a pillar of Juventus because he has the personality to do so."