Nadal reaches US Open quarterfinals, will face Thiem
"He's a very powerful player, and, yeah, he knows how to play these kinds of matches," Nadal said. "Yeah, I need to play my best match of the tournament if I want to keep having chances to stay in the tournament."
Nadal leads the series 7-3, with all the meetings on clay.
On Sunday, he responded to losing the third-set tiebreaker by breaking Basilashvili twice in the fourth set.
Anderson was hoping to be waiting for Nadal. His run to last year's final was a surprise; At No. 32, he was the lowest-ranked US Open finalist in the history of the ATP rankings. But he backed that up with a strong season, reaching the Wimbledon final and earning the No. 5 seed in this tournament.
"Of course it's disappointing," Anderson said. "I wanted to be here right until the end and put myself in contention of winning my first major. It wasn't meant to be."
