Favourites Russia Tennis Federation opened their Davis Cup Finals campaign with a resounding victory over Ecuador, Britain began with a win against France and Italy eased into the quarter-finals with a win over Colombia on Saturday.
N Sriram Balaji and Jeevan Nedunchezhiyan of India, who were entered in the main draw as alternates, were defeated 6-3, 6-4 by Ilya Ivashka and Alexei Popyrin of Australia in the opening round.
India's Sumit Nagal gave a mighty scare to three-time Grand Slam winner Stan Wawrinka by taking off the first set but then wilted under pressure to bow out of the Prague Open in the quarter-finals on Thursday.
Norrie's semi-final opponent will be another American, fourth-seeded Tommy Paul, who crushed Stefan Kozlov 6-3, 6-1 in an all-US matchup.
Russian Daniil Medvedev's 2022 season opened with a stunning defeat at the hands of Frenchman Ugo Humbert after a three-hour dogfight in a steamy Ken Rosewall Arena at the ATP Cup on Sunday.
France, who were 2-0 up courtesy of Arthur Rinderknech and Adrian Mannarino, faced little resistance from Ecuador as wins for Benjamin Bonzi and the doubles pair of Pierre-Hugues Herbert and Nicholas Mahut secured victory for the 10-times champions.
A summary of Wednesday's action at the US Open on Day 3.
Brady was sidelined by knee and foot injuries since the summer of 2021
Kyrgios added that he had been in communication with Tennis Australia chief executive Craig Tiley and United Cup tournament director Stephen Farrow about his injury.
Serbian Dusan Lajovic beat Andy Murray at the Miami Open on Wednesday, sending the Briton packing in the first round with his first hardcourt win of the season.
IMAGES from Day 8 of the action at the US Open at USTA Billie Jean King National Tennis Center at Flushing Meadows in New York on Monday.
IMAGES from Day 5 of the French Open at Roland Garros in Paris on Thursday.
IMAGES from Day 6 of the 2023 US Open on Saturday.
A summary of Friday's action at the US Open.
Images from Day 1 of the 2022 US Open at the USTA Billie Jean King National Tennis Center, in Flushing Meadows, New York, on Monday.
Images from Day 1 of the Wimbledon tennis championships in London, on Monday.
