The 19-year-old, ranked 39, showed during the summer he has the potential to climb far higher, getting the better of world number nine Grigor Dimitrov and number 14 David Goffin at the U.S. Open.
Meanwhile world number one Rafa Nadal, who ended Rublev Flushing Meadows run in the quarter-finals, on Thursday pulled off a routine 6-3 6-3 victory over another young Russian, 21-year-old Karen Khachanov.
"I think I played a solid match," said Nadal, who looked more like his usual self after surviving a scare in the first round against Lucas Pouille, when the Frenchman held two match points.
Nadal next plays American John Isner who beat Leonardo Mayer 6-0, 6-3.
"Tomorrow will be a tough one against Isner; he's playing unbelievably well. I saw his match today. He played huge," the Spaniard said.
Alexander Zverev bested Italy's Fabio Fognini 6-4 6-2 in the day's late match.
(Reporting by Shrivathsa Sridhar in Bengaluru; editing by John Stonestreet)
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