The Scudetto and Coppa Italia winners went painfully close to winning the treble in 2014-15, losing to Spanish champions Barcelona in the Champions League final.
Now Allegri has openly revealed his admiration of creative talents Isco and Oscar, in addition to Sassuolo's Domenico Berardi and Fiorentina's Federico Bernardeschi.
With Carlos Tevez leaving for Boca Juniors and Andrea Pirlo expected to join New York City, the head coach is keen to freshen up his tactical approach and playing squad next season to replace the departing established stars.
"I would like a footballing inventor - they are never boring," Allegri told La Repubblica. "A wildcard in the line-up can bring a different balance to the table.
"Ego in moderate amounts is not harmful to a team's health. I like Real Madrid's Isco and Brazil's Oscar, while among the young Italians there is much to admire in Berardi and Bernardeschi.
"The addition of a No.10 to the mix is both a tactical desire and a desire to add ego to my team.
"Without Carlos Tevez and Andrea Pirlo this coming season, Juve must change and experiment with new ways of working."
Despite being a firm fan favourite, Isco has been linked with a Real Madrid exit after spending two seasons without cementing a place in the starting XI when every player is fully fit, although Rafael Benitez's arrival as head coach could change his status.
Oscar featured 41 times for Chelsea last season but has been heavily linked with Juventus, though his agent recently denied the Brazil international will be leaving Jose Mourinho's side.
The Turin club relinquished their co-ownership of Berardi to Sassuolo for €10 million in June but are widely expected to buy him back for €18m in 2016, while Bernardeschi has been persistently rumoured to be heading for Fiorentina's exit door.