Juventus have lost their opening two games of the Champions League group stage for the first time and are sitting eighth in Serie A, four points behind leaders Napoli after six games.
Allegri's defensive-minded approach did not go down well with fans, who were also frustrated that the team faltered during games they had been dominating.
Allegri's side took down the European champions with a disciplined performance that sucked the life out of the Blues.
Five South American Juventus players will stay at home and rest instead of travelling to face Napoli.
Ronaldo has been linked with a host of clubs this summer but he seems set to stay put at Juventus, tasked with an even more important role in revitalising the Italian giants.
Pirlo was appointed last year with no previous coaching experience and could only lead reigning Serie A champions Juventus to fourth place this season.
The manager joined the club in 2014 and led them to win five Serie a titles, four Italian Cups and two Italian Super Cups.
Although he was outsmarted by his opposite number Diego Simeone in the first leg, Allegri has often been in his element when he is apparently on the back foot.
Juventus coach Massimiliano Allegri was typically unruffled after his team were outplayed in their 2-0 defeat at Atletico Madrid in the Champions League on Wednesday, saying "these things happen".
Juventus coach Massimiliano Allegri agreed with the referee's decision to send him off during his side's shock 3-0 defeat to Atalanta and suggested there was an air of inevitability about his team's first domestic defeat of the season.
Juventus coach Massimiliano Allegri believes Cristiano Ronaldo deserves to win the Ballon D’Or, following media reports that the forward has not been short-listed for the award’s final three for the first time since 2010.
Juventus have won 12 out of their 13 games in all competitions this season but coach Massimiliano Allegri said he was still worried that "drops in intensity" could cost his team an eighth successive Serie A title.
Serie A leaders Juventus are not scoring enough goals considering the number of chances they create, coach Massimiliano Allegri said on Friday.
Cristiano Ronaldo insisted again Wednesday that he did not rape a woman he met in a Las Vegas hotel in 2009 and that their sexual encounter was "completely consensual", said his lawyer.
Juventus coach Massimiliano Allegri has assured that "it's time to win in the European competitions, something that Juventus has been close to before,"
Allegri revealed that his Italian defender Giorgio Chellini and the Colombian midfielder Juan Guillermo Cuadrado have recovered from their respective injuries.
Four Four Two sports website announced their top 5 managers of the 2016/2017 football season last week
Juventus announced they have reached an agreement with their coach Massimliano Allegri to renew his contract until 2020.