Against Eubanks, Sinner hit 12 aces and recorded four out of 12 break points to win the match 6-4, 7-6 (10-8), 6-2.
On Thursday, Grigor Dimitrov, ranked 19th in the world, will play 69th-ranked Brandon Nakashima in the second round of the 2022 US Open.
Aslan Karatsev, ranked 38th in the world, will face Brandon Nakashima, ranked 63rd in the world, in the opening round of the 2022 ATP Cincinnati Masters on Monday.
Cameron Norrie had reached the final of the Los Cabos Open, which was his last competition.
Miomir Kecmanovic and Brandon Nakashima will take on each other on Friday August 5th in the quarterfinal round of the 2022 Los Cabos open.
Brandon Nakashima and Kaichi Uchida will take on each other on Wednesday August 3rd in the round of 16 the 2022 Los Cabos open.
The 2022 ATP Atlanta Open quarterfinal matchup pits world number 29 Frances Tiafoe against fellow American and 56th-ranked Brandon Nakashima on Saturday.
The Atlanta Open's second round will feature Australian John Millman versus home favourite Brandon Nakashima.
The eight seed Brandon Nakashima will face Jordan Thompson in the first round of the 2022 Atlanta open.
Tsitsipas fought valiantly in the third round but Kyrgios edged out a stunning 6-7 (2-7), 6-4, 6-3, 7-6 (9-7) victory.