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Arturo Vidal and Andrea Pirlo fit flawlessly into Antonio Conte's system.
Allegri's penchant for tactical tinkering goes somewhat hand-in-hand with his tendency to tinker with positions. This tinkering, however, has produced some better results than his positional merry-go-round.
Some of Allegri's tactical shifts have been spot-on. Adjustments he made for the first leg of the Champions League round of 16 against Arsenal in 2011-12 saw an unexpected 4-0 pummeling at the San Siro.
At the same stage of the competition the next year, his tweaks resulted in a truly stunning 2-0 victory over Barcelona.
It can be said that Allegri, like the ancient Carthaginian general Hannibal, knew how to win but not to use his victory.
In 2012 Milan very nearly squandered that gigantic lead when they lost 3-0 at the Emirates Stadium. In 2013 they allowed Lionel Messi an early moment of brilliance and ended up losing the return leg 4-0. Even then, they were the width of the post away from taking a crucial away goal when the aggregate was standing at a flat-footed 2-2.
Much of this tinkering, especially toward the end of his time at Milan, stemmed from the fact that he wasn't being supported by the club's directors with good players. Indeed, the Rossoneri were selling his best players off, forcing Allegri to improvise with a below-par team.
Allegri shouldn't have that problem at Juventus. He also comes into a situation where the tactics and player roles have been very clearly defined and very successful.
It's natural to see some tactical changes when a new manager arrives at a club. Allegri, however, should make sure those changes are minimal. He isn't an expert on Conte's 3-5-2, but Conte looked primed to switch back to the 4-3-3 after receiving new players on the transfer market.
The conventional wisdom over the last few years has been that the 3-5-2 has flaws that won't allow it to compete with elite European competition. The recent World Cup, however, should challenge that notion. Several nations, including Mexico, Costa Rica, the Netherlands and on occasion Chile, put in impressive performances at the tournament playing formations that could switch efficiently between 5-3-2 and 3-5-2 depending on the situation.
Allegri should look at the World Cup and re-evaluate whether the 3-5-2—which is still the best fit for the team as it is currently constituted—can compete at that level. If he decides not and wishes to go back to a four-man line, he'll need to wait for the proper personnel in the transfer market.
Speaking of which...