Rafael Nadal's hopes of winning the year-ending ATP Finals for the first time live on after the Spaniard beat defending champion Stefanos Tsitsipas 6-4, 4-6, 6-2 on Thursday.
Carlos Alcaraz won two matches to lift Team Europe to a 13-11 victory over Team World for the Laver Cup title in Berlin.
18-year-old Carlos Alcaraz of Spain became the youngest to clinch an ATP 500 title at the same event on Sunday when he defeated Diego Schwartzman in the final of the Rio Open.
Jannik Sinner overpowered American Taylor Fritz in the final to become the first Italian man to win the US Open singles title.
Jo-Wilfried Tsonga started his quest for an ATP World Tour final spot with a 6-2, 4-6, 7-6 second-round victory over fellow Frenchman Julien Benneteau at the Paris Masters on Tuesday.
World number two Rafael Nadal criticised the ATP on Thursday for promoting a court surface he said was the toughest on the bodies of the players.
Sasikumar Mukund will aim for a winning return to the Davis Cup fold as India faces Togo in the World Group I Play-off.
With world number four Ruud already assured of a semi-final berth the match was in reality a dead rubber.
Dimitrov was showing signs of fatigue from his three-hour third-round match earlier in the week and could do little to stop the Spanish world number three, who next faces Argentine Francisco Cerundolo.
Retired tennis great Andy Murray has agreed to join Novak Djokovic's team and will coach him at the Australian Open next year, the Serbian 24-times Grand Slam champion said on Saturday.
Sasikumar Mukund, who was banned by AITA on disciplinary grounds, is back as India's best-ranked player for the World Group I Play-off tie against Togo, starting on Saturday.
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.
Leander Paes's dream of winning ATP year-end finals remained unfulfilled as the veteran Indian crashed out of the prestigious event along with Czech partner Radek Stepanek after losing a must-win Group B match in London.
Casper Ruud has become the first Norwegian to book a place in the season-ending ATP Finals, leaving one spot to be filled at the tournament in Turin, Italy later this month.
Novak Djokovic's bid to add a 100th singles title to his trophy cabinet on Sunday was dashed after he was beaten 7-6(4), 6-3 by world number one Jannik Sinner in the Shanghai Masters final on Sunday.
Britain number one Andy Murray has overtaken 14-time Grand Slam champion Rafael Nadal to claim the third spot in the ATP world rankings.
Novak Djokovic dug out a 6-7(4) 6-1 6-4 win over Czech Jakub Mensik on Friday to advance to the semi-finals of the Shanghai Masters, where he will face Taylor Fritz.
Adding to the joy of India's World Cup triumph, tennis players Leander Paes and Mahesh Bhupathi won their second title of the season by clinching the Sony Ericsson Open in Miami to become number one in the ATP World Tour Doubles Team Rankings.
World number one Novak Djokovic had enough on his plate already on Wednesday without marauding Russian Daniil Medvedev pummelling him to a shock 6-3, 6-3 defeat at the ATP Finals.
Ramkumar will meet American Steve Johnson, who beat Spain's Marcel Granollers 6-3, 6-3 in the other semi-final, for the Hall of Fame Open title in Rhode Island on Sunday.
'We feel blessed to have been able to play the game of doubles for so long. We are grateful to have had the opportunities in the beginning of the year to play and say our goodbyes to the fans.'
The 36-year-old was given a thorough workout by Sock although had he been a little more clinical the scoreline would have been more heavily-weighted in his favour.
India has never beaten Sweden in five attempts in the Davis Cup.
Sinner remains the man to beat at Melbourne Park even as doping officials seek a two-year ban for the world number one for failing two drugs tests last March.
Roger Federer took a big step towards securing his endangered place in the ATP World Tour Finals by overcoming rising Canadian talent Vasek Pospisil 6-3, 6-7(3), 7-5 in the Basel Open semi-finals on Saturday.
Italy's Sinner and Spain's Alcaraz have won two Grand Slams each this year, with Alcaraz beating Sinner in closely fought clashes at the French Open semi-finals and the China Open final.
AITA President Anil Jain, who was accused of using his position for personal gains, avoided facing a no-confidence motion from the state associations only after he agreed to step aside.
Third seed Alexander Zverev eased past home favourite Ugo Humbert
The ATP Tour brought the world number ones for a short conversation as they prepared for the prestigious tournament.
Russian Andrey Rublev has become the fifth singles player to qualify for the season-ending ATP Finals in Turin next month, the men's tour said.
Indian tennis star Rohan Bopanna and Pakistan's Aisam-ul-Haq Qureshi have decided to reunite for the 2014 season.
Novak Djokovic handed Kei Nishikori a brutal lesson in hardcourt tennis as the Serb began his bid for a record fourth successive title at the ATP World Tour Finals with a 6-1, 6-1 win on Sunday.
Former world number one Novak Djokovic, the last surviving member of tennis' "Big Four", said he does not plan on stopping any time soon but admitted that the retirement of rivals Roger Federer, Andy Murray and Rafa Nadal has been overwhelming.
Czech Tomas Berdych booked his place in the ATP World Tour Finals for the fifth time in a row when he advanced into the semi-finals of the Paris Masters with a 6-7(4) 6-4 6-4 victory over South African Kevin Anderson on Friday.
The last time the Swiss maestro was this far down in the ATP rankings was all the way back on January 2001, when Federer was just 19 years old. Notably, he was yet to win his first tour title.
Richard Gasquet kept his ATP World Tour finals hopes alive when he overcame Fernando Verdasco 7-5, 6-7(6), 6-3 to reach the Paris Masters third round as fellow Frenchman Jo-Wilfried Tsonga crashed out of the race on Tuesday.
Roger Federer won the inaugural Istanbul Open on Sunday, beating third seed Pablo Cuevas 6-3, 7-6 (11) for his first clay title in three years.
Daniil Medvedev destroyed his racket and a net camera in a mid-match meltdown as he survived a huge scare against Thai wildcard Kasidit Samrej.
Anyone banking on the ravages of time taking their toll on Roger Federer had better think again -- the Swiss is only getting better, according to his latest victim.
The Briton, who was playing fairly before the mid-match trim, slumped to a defeat against Nadal in their Round Robin match in the ATP Tour Finals on Wednesday.
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