Sinner eases past Kokkinakis into Italian Open last 32
World number eight Sinner took one hour, 18 minutes to deal with Australian qualifier Kokkinakis, and will play one of Alexander Shevchenko or Sebastian Baez in the next round.
Sinner, 21, did not drop a single point on his serve in a dominant first set in which the gulf in class between the Italian and Kokkinakis was painfully evident.
Kokkinakis, ranked 104 in the world, put up more of a fight in the second set but once Sinner broke in the seventh game to take the score to 4-3, it was only a matter of time before the deal was sealed.
Sinner made no mistake, serving to love in games eight and nine to ensure comfortable passage to the next round.
Rome has not seen an Italian winner of the tournament since Adriano Panatta in 1976.
With local boy Matteo Berrettini out of action again with abdominal problems, Sinner will be getting the bulk of the capital city's support.
Sinner has had a decent season far, winning in Montpellier in February and losing the finals in Miami and Rotterdam to Daniil Medvedev.
He also reached the semi-finals at Indian Wells, losing to eventual winner Carlos Alcaraz.
Cameron Norrie strolled past French qualifier Alexandre Muller 6-2, 6-3 to set up a clash with Marton Fucsovics or Alex de Minaur in the next round.
