Alcaraz topped the Red Group and will face Green Group runner-up Novak Djokovic in a mouth-watering semi-final.
Five top contenders for the women's title at the French Open, which starts on Sunday.
Zverev and Rublev among dark horses for French Open
Germany's Alexander Zverev beat Russian world number two and defending champion Daniil Medvedev 6-4, 6-4 in the summit clash of the ATP Finals on Sunday to win the title for the second time in his career.
Scenes from around the world as heatwaves engulf different parts of the globe.
IMAGES from the UEFA Champions League matches played on Tuesday.
A sluggish Carlos Alcaraz was beaten 6-7(3), 6-3, 6-4 by Alexander Zverev on the his debut at the ATP Finals on Monday to continue his end-of-year slump with a third straight defeat.
Novak Djokovic secured a semi-final place at the ATP Finals with a 6-3, 6-2 victory over Russian Andrey Rublev on Wednesday, his 50th match win of the year, while Stefanos Tsitsipas withdrew from the tournament due to an elbow injury.
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With world number four Ruud already assured of a semi-final berth the match was in reality a dead rubber.
IMAGES from the UEFA Champions League matches played on Wednesday
Kyrgios, who opted out of Australia's Davis Cup team this year, later posted a video on Instagram where he was seen out in the sunshine at a harbour with the caption 'Beautiful day'.
Meet the best-dressed celebs from the 79th Venice International Film Festival.
The match marked world number two Medvedev's ninth win in a row at the ATP Finals and he improved his head-to-head record over Ruud to 3-0.
Poland's Hurkacz was a force to reckon with on serve -- firing 24 aces in the match -- but he ran out of steam in the final set
Organisers confirmed Osaka had withdrawn due to a left ankle injury and her opponent Sara Sorribes Tormo will now face lucky loser Nuria Parrizas Diaz.
Midfielder Marco Verratti said North Macedonia's goal in added time was a "real nightmare".
Djokovic did not drop a set en route to the final in Rome
Summary of the Europa League semi-final matches played on Thursday.
The decision to lift the ban was met with protest from Ukraine, whose Foreign Minister Dmytro Kuleba said it was "immoral" and urged Britain to deny Russian and Belarusian players visas.
These 8 images that prove that we truely live in a wonderfully weird world even during COVID-19.
Europe resisted a fierce American fightback to secure the four points required to reclaim the Ryder Cup
Brady was sidelined by knee and foot injuries since the summer of 2021
Novak Djokovic beat Norway's Casper Ruud 7-5, 6-3 to collect a record-equalling sixth ATP Finals title on Sunday, earning the biggest paycheck ever in tennis - $4,740,300 - for completing the season-ending tournament unbeaten.
Greece's Tsitsipas battled back from 3-5 down in the third set to eliminate Medvedev with a 6-3, 6-7(11), 7-6(1) win to set up a showdown on Friday with Rublev for the Red Group's other semi-final spot.
Leclerc had seized the lead at the start, and held it through an initial safety car period, before Verstappen made up for his poor getaway and passed the Monegasque -- whose tyres were fading fast -- with a late move around the outside.
Auger-Aliassime, now coached by Nadal's uncle and long-time mentor Toni who sat in his box, will face Fritz in his final group match with a chance of making the last four.
Nadal had a solid start, but the 35-year-old struggled physically towards the end of the contest
Verstappen goes into the Formula One record books as the pole setter for the weekend, however, regardless of where he starts on Sunday.
Japan has extended a state of emergency in Tokyo and three other areas until the end of May as the country battles a surge in COVID-19 cases
The wild wander to the city in these times of the coronavirus.
Halep said she would not recover from a calf injury in time, Wawrinka underwent foot surgery that would rule him out of the Games
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.
In the Rome Declaration, the G20 leaders thanked healthcare and frontline workers, international organisations and scientists for their relentless efforts to cope with the deadly COVID-19 pandemic.
The prime minister is participating in the G20 Summit in Rome from October 30- 31 at the invitation of Italian Prime Minister Mario Draghi.
Alexander Zverev booked his place in the last four of the ATP Finals where he will face world number one Novak Djokovic after a 6-2, 6-4 win over Hubert Hurkacz in Turin on Thursday.
Life will hardly remain the same when we get to the other side of the Covid-19 pandemic. Economists and social scientists are predicting lasting changes in the way we live, work and eat. Already many eateries around the world are adapating to the virus in order to facilitate sales. Here's how dining out will look during the coronavirus pandemic.
Friday's match was a straight shootout for a last-four place, with world number five Rublev the favourite having won his four previous matches against Ruud.
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