His departure came shortly after the Turin side signed five-time World Player of the Year Cristiano Ronaldo from Real Madrid.
The Portugal superstar, 33, reached the tally as he scored in the against Genoa in the 1 - 1 on Saturday.
Ronaldo, despite the turmoil of explosive rape allegations that surfaced before the global break, notched up his fifth goal for his new employers since his headline move from Real Madrid in the 18th minute, ironically helped by a mistake from Genoa's top-scoring Polish striker Krzysztof Piatek.
So Bonucci will line up for Juventus and, at Continassa, the Italian club's stunning new training ground close to the Allianz Stadium, he tells Telegraph Sport about that remarkable return, and his equally astonishing departure the year before, about the art of defending and about the burning desire to win the Champions League.
But Genoa enjoyed the better of the second half and got their reward after 67 minutes when Bessa headed home.
He tapped in after Joao Cancelo's shot was blocked - having earlier hit the post with a header but Daniel Bessa equalised with a header from Christian Kouame's cross.
Alexis Sánchez will play no part in Manchester United's clash with Juventus on Tuesday night, José Mourinho has confirmed.
In an attempt to stifle Genoa as they scented an equaliser Allegri replaced Juan Cuadrado with Douglas Costa, the Brazilian winger making his first appearance since a four-game ban for spitting. There were further chances for Ronaldo, Miralem Pjanic and substitute Paulo Dybala but Juric's players stood firm to earn an unexpected point.
With the pressure off, Marko Rog then added a third with five minutes to go.
His team sit second in Group H, behind Juventus, after a disappointed 0-0 draw with Valencia in their last game. Every match has to be won on the pitch in 90 minutes.