The former Bianconeri striker has encouraged the Scudetto holder to make a move for the Sweden international this summer.
Vialli, who wore the Juve jersey from 1992 until 1996, has admitted that Napoli's Edinson Cavani could be an even better alternative due to his age, but has stressed that the Old Lady could challenge for top honors again in Europe if the team was to bring back Ibrahimovic.
"I can imagine Ibra returning to Juventus. If I could choose, I would go for Cavani due to his age, but Ibrahimovic could be the answer to all of Juve's problems," Vialli told Sky Sport Italia. "With the arrival of Zlatan, we would see a Juventus that would not only be able to challenge in Italy, but in Europe as well.
"A lot of things change when you have Ibra in the team. All his teammates immediately feel his presence and understand that he can solve certain situations. I wouldn't call him a leader off the pitch, but he helps to get the best out of his team-mates on the pitch in his own way. He reassures his companions."
Ibrahimovic, 31, has a contract with PSG until the summer of 2015, but Juventus is closely monitoring the Sweden international's situation in Paris.