World No. 1 Nadal saw off a battling Nikoloz Basilashvili, the first Georgian in a fourth round in NY, 6-3, 6-3, 6-7 (6), 6-4.
Williams, the 23-time Grand Slam champion seeking a first major since a 2017 Australian Open title won when she was pregnant with her daughter Olympia, will take on Karolina Pliskova for a semi-final spot after the eighth-seeded Czech beat Australian Ashleigh Barty 6-4, 6-4. He came through 5-7 7-5 7-6 7-6, but was again taken to four by Hamburg champion Nikoloz Basilashvili, before beating the Georgian 6-3 6-3 6-7 6-4.
South Africa's Kevin Anderson is the king of the five-setter after he outlasted the precociously talented Denis Shapovalov to reach the last-16 of the US Open at Flushing Meadows in the early hours of Saturday morning.
The Spaniard trademarked the strategy previous year during his title run - his third in NY - and Thiem, whose similar heavy-topspin, big-stroke game rivals the Spaniard's on clay, has copied the pattern this fortnight for his best US Open result yet.
"It's going to be the first time on hard court which is a completely new experience".
The closed roof, a dropped first set, a tight match highlighted by last year's U.S. Open finalist that had the crowd going wild.
On Sunday, he never faced a break point and hit 42 winners. Yeah, I did it sometimes against him, but it's a risky game style also because it can happen that I make too many mistakes and then it looks black.' Speaking about his win over Kevin Anderson, Thiem said: 'First of all, I served really, really well today.
Potential tropical cyclone expected to move through the Florida Keys on Monday
There were no immediate indications that the storm had so far affected energy operations in the Gulf of Mexico area. "Little change in strength is forecast during the next few days", the National Hurricane Center said Sunday.
"On clay, it's one of the biggest challenges in sports to beat this guy".
Isner, seeded 11th, also defeated Raonic at Wimbledon on the way to a semifinals appearance, his best finish in a Grand Slam.
The Austrian ninth seed was denied a place in the last eight 12 months ago by a remarkable comeback from Juan Martin del Potro but exorcised his demons in impressive fashion to win 7-5 6-2 7-6 (7/2).
"There were a lots of ups and downs in the match".
He is 4-7 against Del Potro having lost to the Argentine most recently in straight sets in the fourth round at Roland Garros this year.
Thiem told reporters that his positioning on the court inside the newly-built Louis Armstrong Stadium was critical.
He is 1-1 against Coric.
"I think that moment was the key of the match", Del Potro said in an on-court interview. But why not me?