Having forged a reputation as one of Europe's most coveted talents with his performances for the Serie A club and Colombia at last summer's World Cup in Brazil, Cuadrado struggled to win over Mourinho.
But with the Portuguese having been sacked by the Blues on Thursday after a disastrous first half of the season which has left them one point off the relegation zone, Cuadrado could yet get a second chance at Stamford Bridge.
Talks over South American duo
Tuttosport claims that Juventus directors Giuseppe Marotta and Fabio Paratici were due for talks and hope to also tempt Oscar to Italy.
Mourinho exit leaves door open
But with Mourinho gone, it could pave way for Cuadrado to return and make a go of a career in the English top flight.
While the player did not take his chance with both hands when it came his way at Chelsea, it is fair to say he was not given a real crack of the whip.
The 26-year-old played just 13 times under Mourinho and the one Blues player that has been on top of his game this season, Willian, was his direct rival for a first team spot.
After investing so heavily in the South American star, Chelsea will want to see a return and with Juve trying to drive a hard bargain that would perhaps best be evidenced on the pitch under a new manager with a different philosophy next season.