The 18-year-old Scot, who has shot into the top 100 after starting the year ranked 411, defeated the American third seed to enter the semi-final of the Thailand Open.
Ninth seed Auger-Aliassime, 21, was the dominant player in the first set and despite a wobble when serving at 6-5 he won a tiebreak courtesy of some Medvedev double-faults the Russian later blamed on the sweaty conditions.
IMAGES from the EPL matches played on Saturday
A single bench of Justice N W Sambre also granted bail to his co-accused Arbaaz Merchant and Munmun Dhamecha.
New Zealand sprung a fantastic turnaround to defeat India by three wickets
Novak Djokovic sauntered past Spaniard Feliciano Lopez to reach the quarter-finals of the Shanghai Masters on Thursday but Andy Murray had to claw past big-serving American John Isner after losing a first-set tiebreaker.
A round-up of Tuesday's action in the UEFA Champions League.
Kagiso Rabada took five wickets as they cruised to victory over West Indies
Rohit Sharma took the player-of-the-match award and Jasprit Bumrah produced what pundits called the 'spell of the summer' but Shardul Thakur's role was no less important in fashioning India's victory in the fourth Test against England on Monday.
New Zealand wrapped up a record innings and 134-run victory over West Indies before lunch on the fourth day of the first Test in Hamilton on Sunday after finally breaking a rearguard action from Jermaine Blackwood and Alzarri Joseph.
The Air Force Day is celebrated to mark the day the IAF was established in 1932. The force will celebrate its 88th anniversary this year with the annual parade at the Hindon airbase in Ghaziabad which includes air display of various aircraft.
Aryan Khan, son of Bollywood superstar Shah Rukh Khan, walked out of the Arthur Road prison, after 22 days in the central Mumbai facility following his arrest during a drug raid on a cruise ship off the Mumbai coast.
PHOTOS from day four of the Wimbledon championships at the All England Lawn Tennis and Croquet Club in London on Thursday.
Manchester United stretched their winless Premier League streak to four games after their manager Jose Mourinho and midfielder Ander Herrera were sent off in a 0-0 home draw with Burnley on Saturday.
Images from the T20 World Cup Super 12s match between Sri Lanka and Australia, in Dubai, on Wednesday.
IMAGES from Day 2 of the US Open played at Flushing Meadows in New York on Tuesday.
Rafael Nadal moved seamlessly from months of clay court success to a satisfyingly smooth first-round victory on grass as he opened his Wimbledon campaign with a commanding 6-1, 6-3, 6-2 victory over Australian John Millman on Monday.
Images from the first One-Day International between South Africa and India, in Paarl, on Wednesday.
Max Verstappen put his Red Bull on pole position for the Austrian Grand Prix
Taking to Twitter, Modi said that the Kashi Vishwanath Dham project will add to Kashi's spiritual vibrancy.
Brazil continued their perfect start to the Copa America as goals from Alex Sandro, Neymar, Everton Ribeiro and Richarlison gave them a 4-0 win over Peru
Martin Guptill smashed a quickfire half-century as New Zealand cruised to a seven-wicket victory over Australia at Wellington Stadium on Sunday in the fifth Twenty20 international and secure a 3-2 series win.
Chris Morris took four wickets to power Rajasthan Royals to an easy six-wicket victory against Kolkata Knight Riders in the IPL match, in Mumbai, on Saturday.
'I wanted to fight until the last ball and that was the key.'
Images from the English Premier League matches played on Saturday.
The 13-run win saw India grab their first points in the ICC Men's World Cup Super League table.
India have won the Asia Cup on seven occasions, Sri Lanka on five occasions, with Pakistan winning it twice.
What's Kavita like in real life? Namrata Thakker finds out through her Instagram feed.
India's Leander Paes and his doubles partner Canada's Daniel Nestor entered the third round of the Wimbledon doubles after defeating the Russian-Chinese Taipei duo of Teymuraz Gabashvili and Yen-Hsun Lu 5-7, 7-6 (3), 7-6 (4), 7-5 on Saturday.
Scattered fans in the open-air stadium, at best a quarter full, wore puffer jackets and blankets, clearly backing the home favourite with occasional cheers and fist bumps.
A round-up of Tuesday's action in the UEFA Champions League.
Raducanu stormed into the third round of the Cincinnati Open
Dhawan took control of the proceedings with a flurry of boundaries to keep the scoreboard ticking.
Sania-Martina will next face ninth seeds Yung-Jan Chan and Hao-Ching Chan of Chinese Taipei, who rallied to beat unseeded Romanians Irina-Camelia Begu and Raluca Olaru 5-7, 6-1, 7-6 (4).
The aircraft carrier, built at a cost of around Rs 23,000 crore, set sail on Wednesday for the crucial sea trials ahead of its planned induction into the Indian Navy by August next year.
A second-string Spain celebrated coach Vicente del Bosque's two-year contract extension with a 2-1 away win over Equatorial Guinea in a friendly on Saturday that was marred by an injury to Xabi Alonso.
Roger Federer glided to victory on another hot, steamy day at the US Open, the envy of a clutch of men's players made to work overtime on Tuesday at the season's final Grand Slam.
A summary of Friday's action at the US Open.
Europe maintained their Ryder Cup stranglehold over the United States with a crushing five-point victory on Sunday as rookie Jamie Donaldson had the honour of securing the decisive point to make it eight wins in the last 10 matches.