The 10th-seeded Raonic defeated the Italian qualifier, who was making his Grand Slam debut, 6-3, 7-6 (6), 6-3.
Raonic finished with 28 aces and 52 winners.
The big-serving Thornhill, Ont., native joined fellow Canadian Frank Dancevic in the second round of the men's draw. Dancevic defeated Dutchman Robin Haase in four sets on Monday.
Canada's Vasek Pospisil began his opener on Monday before the match was suspended because of rain. Pospisil was up two sets to one, but opponent Rogerio Dutra Silva led the fourth set 4-0 and Pospisil appeared to have suffered a leg injury. They were due back on court later Tuesday.
Raonic next faces unseeded Pablo Andujar, who beat Thiemo de Bakker in straight sets Tuesday.
Other notable men's players scheduled to play Tuesday included No. 1 Novak Djokovic, No. 5 Tomas Berdych and No. 7 Roger Federer.
In the women's draw, Canada's Aleksandra Wozniak faces Vesna Dolonc of Serbia.