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.
Dimitrov has enjoyed the best season of his career in 2017, clinching four titles overall, including his first Masters title in Cincinnati.
Rafael Nadal's decision to end his season early means Cilic is actually holding the last berth for the eight-man showdown at London's O2 Arena.
'I've done an incredible job with my fitness. I've done an incredible job with my physiotherapy, so I've maximized on everything that I possibly can do.'
World tennis No 4 Rafael Nadal has pulled out of the Paris Masters and the ATP World Tour finals in London as he is still recovering from his left knee injury, the ATP said on Thursday.
Roger Federer chalked up yet another record when victory over Janko Tipsarevic at the ATP World Tour Finals on Tuesday put him top of the list for match wins at the traditional season-ender. The 17-times Grand Slam champion cruised to a 6-3, 6-1 victory over the Serbian world number nine, taking his haul of victims in the event to 40, one more than Ivan Lendl.
Russian sixth seed Anastasia Pavlyuchenkova claimed her third title of the year by beating seventh-seeded Australian Daria Gavrilova in the final of the Hong Kong Tennis Open on Sunday.
One of the rising stars of the men's tour, Fonseca shocked ninth seed Andrey Rublev on his Grand Slam main draw debut at the Australian Open in January and became the youngest Brazilian to win an ATP tournament at the Argentina Open the following month.
Down's syndrome can cause developmental delays, intellectual disability and increase the risk for some medical issues in individuals who have the condition.
Former champion Naomi Osaka was sent packing from Indian Wells after losing in straight sets to Colombia's Camila Osorio.
Andre Agassi will make his professional debut in the fast-growing sport of pickelball
Mahesh Bhupathi and Rohan Bopanna won their first match at the ATP World Tour Finals, scoring a 6-3, 5-7, 10-5 victory over Robert Lindstedt and Horia Tecau in Group B to keep their semi-final hopes alive, while Leander Paes and Radek Stepanek also made a winning start.
"It has been an amazing year. One year ago, for sure I never dreamed about being World No. 1 again at the end of the season. It's something that means a lot to me. But the season is not over."
With 1,500 points available for an undefeated champion next week, the tournament could produce a thrilling climax with Murray and Djokovic, who have never met at the O2, facing off in the final for the year-end number one ranking.
World number two Carlos Alcaraz beat seventh seed Arthur Fils 6-2, 6-4 on Saturday to advance into his third Barcelona Open final, where the Spaniard will face Denmark's Holger Rune for the title.
Nikolay Davydenko sealed the last semi-final berth at the ATP World Tour Finals on Friday, claiming the victory he needed over Robin Soderling, to send 2008 champion Novak Djokovic spinning out of the tournament.
World No 8 Switzerland's Stanislas Wawrinka confirmed, on Monday, his participation in the 19th edition of the Aircel Chennai Open, India's only ATP World Tour tennis event, starting December 30.
Mahesh Bhupathi and Rohan Bopanna sealed a place in the semi-finals at the ATP World Tour Finals after getting the better of the second-ranked Belarusian-Canadian pair of Max Mirnyi and Daniel Nestor at the O2 Arena in London on Friday. In a tense Group B match that could have gone either way, the world No 5 Indian duo prevailed 7-6(5), 6-7(5), 10-5 in an hour and 55 minutes.
Australian bad boy Bernard Tomic has shrugged off his Miami arrest and banishment from the Davis Cup team to successfully defend his ATP title in Bogota.
Paire, ranked 29 in the world, said the sport had become a 'tasteless job'.
Novak Djokovic fought back from a set down to beat Andy Murray 4-6, 6-3, 7-5 at the ATP World Tour Finals on Wednesday and all but seal a place in the last four of the season-ending tournament.
He will surpass Roger Federer's record as the oldest No. 1 in ATP Rankings history on Sunday when he will be 36 years and 321 days old.
The message from Novak Djokovic could not have been more emphatic after the Serb retained his title at the ATP World Tour Finals with a crushing victory over Rafa Nadal on Monday.
Carlos Alcaraz was pushed all the way by fellow-Spaniard Jaume Munar in a thrilling contest
Chess great Magnus Carlsen is launching a world Freestyle Chess tour as the variant of the game, also known as Chess960, is gaining in popularity, the world number one announced on Friday.
Roger Federer and Andy Murray avoided the need for fiddly mathematics on Thursday as they both produced dominant displays to qualify for the semi-finals of the ATP World Tour Finals.
The hardest nut in men's tennis again proved resistant to the heaviest of sledgehammers as Novak Djokovic absorbed the brute force of Juan Martin del Potro to book his place in the last four of the ATP World Tour Finals on Thursday.
Grigor Dimitrov claimed the biggest title of his career and sent out a huge statement of intent as the stylish Bulgarian beat David Goffin 7-5, 4-6, 6-3 to win the ATP Finals.
Argentina's Juan Martin del Potro found himself in a strangely familiar position at the ATP World Tour Finals on Thursday after keeping his hopes on track with victory over Janko Tipsarevic.
Factbox on Italy's Jannik Sinner, who beat Germany's Alexander Zverev 6-3, 7-6(4), 6-3 in the Australian Open final
Indian ace Leander Paes and his partner Lukas Dlouhy suffered a straight-set defeat against American Byran brothers Bob and Mike to be out of contention for a semi-final spot in the ATP World Tour Finals in London.
'I've never been a fan of division in our sport, but I've always fought for better representation and influence of and positioning of the players globally in our sport, which I think is still not where I think it should be.'
Japan's Kei Nishikori will make a third straight appearance at the ATP Tour finals next month after becoming the fifth player to qualify for the season-ending tournament, organisers said on Wednesday.
The fast rising Indian pair of Divij Sharan and Purav Raja clinched its first ever ATP tour level title with a hard-fought win over Edouard Roger-Vasselin and Igor Sijsling in the summit clash of the Claro Open, in Bogota.
Switzerland's challenge at the ATP World Tour Finals melted away like an Alpine glacier in a heatwave on Sunday as Rafa Nadal and Novak Djokovic marched on to the grand finale.
Roberto Bautista Agut, the world No. 15, has confirmed his participation in the 20th edition of the Aircel Chennai Open, to be held at SDAT Stadium in Nungambakkam from January 5 to 11 next year.
'My dad is trying to retire me for a while now ...
The buzz around talented teenagers Mirra Andreeva and Joao Fonseca continued at Indian Wells on Wednesday.
Six-time champion Roger Federer survived a late-night Swiss semi-final thriller against Stanislas Wawrinka on Saturday to set up an ATP World Tour Finals showdown against Novak Djokovic.
Speculation is rife that all is not well in among compatriots Roger Federer and Stanislas Wawrinka.
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