Many fans gathered outside the club's training base after the game demanding to know why the players did not acknowledge the fans after the final whistle, something for which Buffon has now apologised.
"It's important for us to have you here," Buffon said according to 'Corriere della Sera'.
'You were right to come here. If we are stuck in this situation, it's because we did something wrong. We want you to be proud of us, until the end.
'We didn't stop to greet you against Napoli because we were too angry, we went to talk with our opponents because it is our habit to do so, win or lose.
'We didn't stop close to the "Curva" because we were very disappointed and we didn't realise.'
Paulo Dybala and Claudio Marchisio are also reported to have spoken to some sections of the fanbase.