Medvedev suffered a jarring early exit from the Canadian Masters last week but overcame some initial problems in a tricky tie against Shapovalov to edge both sets and book a meeting with American Fritz.
Venus Williams stands in the way of younger sister Serena's bid for a calendar-year Grand Slam after reaching the quarter-finals with a 6-2, 6-1 rout of Estonian teenager Anett Kontaveit on Sunday.
Konta, Sharapova fall at Rogers Cup in Toronto
Naomi Osaka pulled out of the semi-finals of the Western & Southern Open tennis tournament on Wednesday in New York City, in protest at racial injustice. Her decision follows protests over the police shooting of Jacob Blake, a Black man, in the city of Kenosha, Wisconsin, on Sunday.
Serena Williams was sent spinning out of the Western and Southern Open by Maria Sakkari on Tuesday after the Greek rallied from a set down to beat the 23-times Grand Slam champion 5-7, 7-6(5), 6-1 and reach the quarter-finals.
Maria Sharapova retired injured from her second round match with Croatia's Mirjana Lucic-Baroni at the Italian Open on Tuesday.
Iga Swiatek's maiden triumph at the US Open extended her lead to almost twice as many points as the second-ranked Ons Jabeur
Venus Williams also went the distance before claiming a 2-6, 6-3, 6-3 victory over Croatia's Donna Vekic.
Spain's Rafael Nadal was at his dominant best against Pablo Carreno Busta on Saturday, brushing aside his compatriot 6-1, 6-2, 6-4 to move into the fourth round at the Australian Open. Images from Day 6 of the Australian Open at Melbourne Park on Saturday.
He leads the men's seedings ahead of defending champ Roger Federer, with Bulgarian Grigor Dimitrov seeded third.
Five things to watch out for at the French Open on Wednesday.
Muguruza seals semi-final berth, Pliskova beats Krejcikova at WTA Finals.
Millman, ranked 80 places above world number 14 Pouille, needed 73 minutes to clinch a 6-3, 6-4 victory and the best win of his career by ranking position.
Roger Federer overcame a sluggish start to defeat Filip Krajinovic 7-5, 6-3 and Kevin Anderson's booming serve proved too much for Joao Sousa as the big names advanced to the fourth round of the Miami Open on Monday.
A tenacious Roberto Bautista Agut battled back to beat world number one Novak Djokovic 1-6, 7-5, 6-3 and advance to the quarter-finals of the Miami Open on Tuesday as the Spaniard claimed his second win over the Serb this year.
Italian Camila Giorgi has now beaten the Australian Open champion in each of their three hardcourt meetings.
Images from Day 6 of the US Open in New York, on Saturday.
Unseeded Australian Daria Gavrilova upset fifth seed Petra Kvitova, of the Czech Republic, 6-2, 6-1 in the first round of the China Open on Saturday as Serbia's Aleksandra Krunic showed stunning powers of recovery to pull off her own shock win over sixth seed Elina Svitolina.
Images from Day 4 of the French Open matches played at Roland Garros in Paris on Wednesday
Williams had signalled her intention to retire in a Vogue article in early August, saying she was "evolving away from tennis" but never confirming the U.S. Open as her final event.
Serena Williams signalled she is not quite ready for retirement advancing to the second round of the US Open on Monday with a scrappy 6-3, 6-3 win over Danka Kovinic.
Images from matches played on Day 5 at the Australian Open in Melbourne Park on Friday
Garbine Muguruza is doing her best to stay grounded ahead of the Australian Open after a breakout 2015 season brought a wave of attention and suggestions that she was a Grand Slam champion in waiting.
Former champion Naomi Osaka is wearing a different facemask for each of her matches at the US Open this year.
A rampant Rafael Nadal turned on the style to beat old rival Novak Djokovic 7-6(4), 6-3 on Saturday and reach his first Italian Open final since 2014. The top-seeded Spaniard will face defending champion Alexander Zverev who overcame fourth seed Marin Cilic of Croatia 7-6(13), 7-5 in the other semi-final.
Next up for the 35-year-old will be another American in 39th-ranked Tommy Paul with a potential semi-final clash against top-seeded Russian Daniil Medvedev, who he defeated in the Australian Open final from a two-sets deficit.
Former world number one Karolina Pliskova utilised her big serve to full effect to ease to a 6-4, 6-4 victory over home favourite and U.S. Open champion Naomi Osaka in the Pan Pacific Open final in Tokyo on Sunday.
Halep through but Stephens exits in Cincinnati
Defending champion Djokovic fired his 15th ace on match point to defeat Querrey but his serve had been an issue earlier in their second-round encounter.
Muguruza wins all-Spanish clash with Badosa at WTA Finals
It will be the earliest meeting between the two since their first professional match in the second round of the 1998 Australian Open.
Madison Keys beat fellow American CoCo Vandeweghe for the second time in eight days with a 6-4, 3-6, 6-3 victory on Monday to reach the second round of the Cincinnati Open.
World number one Naomi Osaka was beaten in her opening match at the Dubai Duty Free Tennis Championships on Tuesday, losing to France's Kristina Mladenovic 6-3, 6-3 on her return to competitive action after winning last month's Australian Open.
News of all that's transpired on and off the tennis courts.
Summary of sports events and persons who made news on Wednesday
Rafael Nadal rallied from a set down to ease past Fabio Fognini 4-6, 6-1, 6-2 in the Italian Open quarter-finals on Friday and set up a mouth-watering clash against long-time adversary Novak Djokovic for a place in Sunday's final. Djokovic plotted a similar path to the Spanish clay-court king when the Serb lost the first set against Japan's Kei Nishikori before recovering to win 2-6, 6-1, 6-3 and seal an open-era record 51st career meeting against Nadal.
At one stage Yuki was a break up, serving for the opening set but lost his serve and eventually the set. After drawing parity, Yuki twice lost his serve to fall behind 0-3 in the decisive set and never recovered.
Djokovic, the ninth seed, was originally scheduled to play Australian Open semi-finalist Chung Hyeon but the 22-year-old South Korean withdrew with a back injury about an hour before the match was due to start.
Daniil Medvedev lost his world number one ranking after being defeated by Gael Monfils
World number one Rafael Nadal recorded his 20th straight win on clay as he began his quest for a sixth title in Madrid, defeating Frenchman Gael Monfils 6-3, 6-1.
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