Serena Williams sets up an all-American semi-final against teenager Madison Keys.
Factbox on Carlos Alcaraz, who beat seven-time champion Novak Djokovic
Aryna Sabalenka took a step closer to a first trophy of the year before her Australian Open title defence begins later this month.
Factbox on Daniil Medvedev, who defeated world number one Novak Djokovic 6-4, 6-4, 6-4 in the US Open final on Sunday to win his first Grand Slam title.
'Whilst I feel fit and healthy, I would like to give it a go.'
'I wanted to fight until the last ball and that was the key.'
Images from Day 9 of the 2020 Australian Open in Melbourne on Tuesday.
Novak Djokovic reached the Wimbledon quarter-finals for the 16th time but it proved a hard day's work at his Centre Court office.
Andy Murray has had his mind elsewhere for much of the Australian Open but will need to bring laser-sharp focus into Friday's semi-final against the red-hot Milos Raonic.
Alexander Zverev kept his bid for an elusive first Grand Slam title alive by reaching a fourth straight semi-final at the French Open
Italian surprise package Jasmine Paolini staved off a fightback from fourth seed Elena Rybakina to seal a stunning 6-2 4-6 6-4 win
Nadal plays Berrettini in one semifinal, knowing he's potentially two match wins from a 21st major title.
IMAGES from Day 4 of the Wimbledon Championships, at the All England Lawn Tennis and Croquet Club, London, on Thursday.
Coco Gauff ended local heroine Lois Boisson's dream run at the French Open with a ruthless 6-1, 6-2 victory on Thursday to set up a final clash with top seed Aryna Sabalenka.
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.
Rafael Nadal reached his first final in two years on Saturday, beating qualifier Duje Ajdukovic
The 20-year-old Spaniard will attempt to end Djokovic's 34-match winning run on the Wimbledon grass.
Novak Djokovic said there was something extra behind his title charge at this year's Australian Open after being deported from the country last year.
IMAGES from Day 10 of the French Open at Roland Garros in Paris on Tuesday.
IMAGES from the Australian Open Men's semi-finals played on Friday.
Serbia's Novak Djokovic, who beat Switzerland's Roger Federer to win his 16th Grand Slam title on Sunday:
Five top contenders for the women's title at the US Open.
'In some ways it is good, maybe, if that was my last match because I lost my first match in the Davis Cup and I lost my last one. We close the circle'
Serena Williams has never been one to approach the net until it is time to exchange post-match pleasantries with an opponent but on Thursday she broke from tradition and it paid off with a trip to the U.S. Open final.
Zverev will have a chance to spoil the birthday party for Nadal, who turns 36 on Friday
Novak Djokovic took a first unsteady step toward completing the calendar-year Grand Slam on Tuesday as the Serb laboured into the second round of the US Open with a 6-1, 6-7(5), 6-2, 6-1 win over dashing Danish teenager Holger Rune.
Herbert and Mahut added to their 2018 French Open title after recovering from a shaky start.
Novak Djokovic will begin his quest for a record-extending 10th Australian Open title against Roberto Carballes Baena.
Defending champions Italy moved into the Davis Cup final after a 2-0 win over Australia on Saturday as Jannik Sinner defeated Alex de Minaur in straight sets to follow up Matteo Berrettini's victory over Thanasi Kokkinakis.
Nadal, bidding for a record-extending 14th French Open title, won the first five games of the match as he looked on course to repeat his drubbing of the Serb in last year's final.
Spaniard Carlos Alcaraz has made it to the semi-finals on his Olympic Games debut.
Rafael Nadal is the oldest title winner in the history of the clay-court tournament.
Images from the Olympics tennis action at the Roland Garros, Paris, on Wednesday.
Iga Swiatek tested positive in an out-of-competition sample in August but the ITIA accepted that it was caused by contamination of her medication melatonin.
Australia now have the opportunity to avenge last year's final defeat by Italy after world number one Jannik Sinner inspired the holders to a 2-1 victory over Argentina.
IMAGES from Day 11 of the French Open at Roland Garros in Paris on Wednesday.
IMAGES from Day 9 of the US Open, at the USTA Billie Jean King National Tennis Center, Flushing Meadows, New York.
Ash Barty ended Australia's 44-year wait for a home winner at the Australian Open when the world number one staved off a fightback from American Danielle Collins to complete a 6-3, 7-6(2) win.
India's Rohan Bopanna inched closer towards his second Grand Slam title by reaching the mixed doubles final of the Australian Open along with Hungarian partner Timea Babos, in Melbourne on Friday.