The explosive and temperamental 24-year-old Kyrgios has a history of notorious outbursts and is being investigated for potential rule violations after calling the ATP Tour "corrupt" during the US Open last week.
US Open: Serena ready for Svitolina challenge
Four years ago Berrettini was playing a Futures event in Italy and on Wednesday became the first Italian man since Corrado Barazzutti 42 years ago to reach the US Open semi-finals.
Defending champion Naomi Osaka of Japan was upset 7-5, 6-4 by Belinda Bencic in the fourth round at the US Open on Monday as the Swiss reached the quarter-finals for the second time.
Serena Williams moved another step closer to a record-tying 24th career Grand Slam title with a comfortable 6-3, 6-2 victory over Czech Karolina Muchova on Friday to reach the last 16 at the US Open.
A summary of Thursday's play at the US Open.
Fiery Australian Nick Kyrgios mostly kept his cool en route to a 6-4, 6-2, 6-4 dismantling of Antoine Hoang in their second round clash at the US Open on Thursday. The 28th seed had a row with the umpire even before the match started but avoided a full scale meltdown to reach the third round at Flushing Meadows for the fourth time.
'I don't mind when he misbehaves. Obviously, I don't like the bad language. It's just when he doesn't try to play tennis, when he doesn't try to win then I think the umpire needs to step in. I think in this situation, default him on the spot, rather than suspend him'
Images from the third day at the US Open, the final Grand Slam tournament of the year, in New York, on Wednesday:
Australia's Nick Kyrgios could find himself in hot water again after accusing men's tennis governing body ATP of being "corrupt" following his US Open first round victory.
A summary of the second day's play at the US Open.
Images from the second day at the US Open, the final Grand Slam tournament of the year.
The ruthless American needed less than an hour to defeat Sharapova 6-1, 6-1 and notch her 19th consecutive win over the Russian in what some charitably dub a "rivalry."
While prone to losing to modest opponents, Kyrgios often produces his best tennis when up against one of the 'Big Three' of Novak Djokovic, Roger Federer and Nadal.
The eight men to watch during the US Open which starts on Monday.
Earning a dream Grand Slam debut for himself, Indian tennis player Sumit Nagal set up a US Open first round clash against the legendary Roger Federer, one of the greatest players of all-time, on Monday.
Halep's near-flawless display at the All England Club marked a spectacular return to form after her world ranking dropped from first to seventh between mid-January and July.
Summary of sports events and persons who made news on Friday
Wimbledon finalists Novak Djokovic and Roger Federer are on a semi-final collision course at the US Open after they were placed in the same half of the draw.
It will be the 22nd career match-up between the two long-time rivals, who somehow have avoided each other at the US Open throughout their long careers.
The 32-year-old pulled out of the doubles event at the US Open to focus on his singles comeback after undergoing career-saving hip resurfacing surgery.
A difficult few months saw her fail to win a tournament, lose her number one ranking and crash out of Wimbledon in the first round.
A six-time champion at Flushing Meadows, Williams was once money in the bank when it came to the US Open
Summary of sports events and persons who made news on Wednesday
This will be her first appearance at the tournament since she was ousted in the second round in 2017.
Summary of sports events and persons who made news on Monday
American Madison Keys overcame late leads by Svetlana Kuznetsova in both sets to defeat the Russian for the Cincinnati Masters title on Sunday.
After losing the first set, Medvedev changed his approach midway through the second set, the Russian going for broke with pretty much every shot, particularly on second serve.
Ashleigh Barty stunningly lost her chance to regain the number one world ranking when the Australian was beaten in straight sets by Russian Svetlana Kuznetsova.
World number one Naomi Osaka will "probably" defend her US Open title, even if it means defying her doctor's orders.
Novak Djokovic wore down Lucas Pouille after an even first set, dispatching the Frenchman 7-6(2), 6-1 in a Cincinnati Masters quarter-final in Ohio on Friday.
Top seed Ash Barty rallied from a set down to power into the semi-finals of the Cincinnati Masters on Friday.
Venus Williams also went the distance before claiming a 2-6, 6-3, 6-3 victory over Croatia's Donna Vekic.
Andy Murray will play in the singles at next week's Winston-Salem Open as he continues his comeback from hip surgery.
Nick Kyrgios has been fined $113,000 by the ATP for arguing with the chair umpire and smashing two rackets during his second-round loss at the Cincinnati Masters.
It was Roger Federer's fastest defeat since losing to Franco Squillari in 54 minutes in Sydney in 2003.
Top seeded Ash Barty overcame a slow start to defeat Maria Sharapova 6-4 6-1, while Simona Halep battled past Ekaterina Alexandrova 3-6 7-5 6-4 in the second round of the Cincinnati Masters on Wednesday.
Defending champion Djokovic fired his 15th ace on match point to defeat Querrey but his serve had been an issue earlier in their second-round encounter.
The Scot lost 6-4, 6-4 to Richard Gasquet in his first singles match since January before saying he had turned down a wild card into the men's draw at the year's final Grand Slam.
Top seed Rafa Nadal overwhelmed Russia's Daniil Medvedev 6-3, 6-0 to win his fifth Rogers Cup on Sunday in Montreal -- the first time he has retained a title outside of clay.