The game is a must-win for both in the race for a quarter-final berth from Pool A. Italy have never beaten the All Blacks.
Allan, Garbisi and Capuozzo were at 10, 12 and 15 — their club positions — against Uruguay last week.
But coach Kieran Crowley on Wednesday put Allan back at fullback, Capuozzo on the wing, and Garbisi at five eighth.
Lock Dino Lamb, halfback Stephen Varney and inside centre Luca Morisi also return as starters after Uruguay were overcome 38-17 from 17-7 down at halftime last week.
The changes mean Italy have close to the same side which won its opening match against Namibia 52-8. The only difference is Marco Riccioni at tighthead prop instead of Simone Ferrari, who is in the reserves.
The bench is also freshened with the introduction of Hame Faiva, props Ivan Nemer and Ferrari, lock Niccolo Cannone, back-rower Toa Halafihi, and halfback Martin Page-Relo.
"Precision and discipline will be fundamental," Crowley said. "We will face this match with courage by continuing to strengthen our identity."
Italy: Tommaso Allan, Ange Capuozzo, Juan Ignacio Brex, Luca Morisi, Montanna Ioane, Paolo Garbisi, Stephen Varney; Lorenzo Cannone, Michele Lamaro (captain), Sebastian Negri, Federico Ruzza, Dino Lamb, Marco Riccioni, Giacomo Nicotera, Danilo Fisichetti. Reserves: Hame Faiva, Ivan Nemer, Simone Ferrari, Niccolo Cannone, Manuel Zuliani, Toa Halafihi, Martin Page-Relo, Paolo Odogwu.
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