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.
Djokovic continues to lead ATP Rankings
Sharapova's quarter-final defeat by Williams at the 2016 Australian Open was the last competitive match the Russian played for 15 months after she received a doping ban while American Williams was on a maternity break for most of 2017.
World No 9 Lucie Safarova will miss this month's Australian Open as she has yet to regain full fitness following a bacterial infection last year, the Czech said on Friday.
Poland's Agnieszka Radwanska stayed patient in the face of a barrage of big serving to advance to the last four of the WTA Finals for the third time in a row with a 7-5, 6-3 victory over Karolina Pliskova on Friday.
Australian Nick Kyrgios produced another extraordinary performance to demolish compatriot Alex de Minaur 6-2, 6-3 at the Canadian Masters on Thursday, a day after stunning world number one Daniil Medvedev.
A summary of sports events and sports persons, who made news on Wednesday
Venus has beaten Muguruza in three of their four meetings to date
Magdalena Rybarikova, who was crushed by Garbine Muguruza in the Wimbledon semi-finals on Thursday, said she was tired and nervous going into the match and had no idea how to respond to her opponent's superb shot-making.
Francesca Schiavone is considering giving her marriage -- with tennis, that is -- another chance.
Maintaining her rich vein of form in the current season, Indian tennis ace Sania Mirza and her Zimbabwean partner Cara Black bagged the women's doubles title at the WTA Toray Pacific Open with a 6-2, 7-5 victory over Spain's Garbine Muguruza and Carla Suarez Navarro.
Serena Williams won a sixth Wimbledon title on Saturday as she became the oldest woman to win a Grand Slam title following a 6-4, 6-4 victory against Garbine Muguruza in the final on Saturday.
Nadal committed 30 unforced errors to Schwartzman's 17 and had his serve broken five times.
The unseeded Indo-Canadian pair defeated their fancied rivals 6-3, 3-6, 10-5 in a round of 16 tie of the ATP Masters 1000 event.
When it comes to tennis parties, there is none bigger than the WTA Pre-Wimbledon Party. Check out some images from the party.
List of French Open women's singles champions
American Serena Williams withdrew from the French Open on Monday, shortly before she was due on court to face Maria Sharapova in a much-anticipated fourth round showdown.
Nadal meets the 'new Nick' Kyrgios in fourth-round blockbuster
Venus Williams produced a vintage display full of guts and determination to grind out a 7-5, 6-7(3), 7-5 victory over Jelena Ostapenko at the WTA Finals on Tuesday to set up a White Group decider for a semi-finals berth against Garbine Muguruza.
Maria Sharapova is renowned for her sheer determination in the face of adversity but in Singapore on Saturday, the Russian was quick to cast doubt over her chances of winning the WTA Finals after an injury-ravaged second half of the season.
From Rafael Nadal's shock exit in the first round to Novak Djokovic's clinical run. We bring you the highs and lows as the Australian Open moves into its business end.
'I think what Venus and her sister have given our sport is absolutely tremendous. The way they've elevated women's tennis is truly inspiring'
Multiple grand slam champion Maria Sharapova has declared herself fully fit and ready for next week's Australian Open after having her preparations hampered by a forearm injury.
Roger Federer, who missed the French Open through injury, plays Guido Pella in the first round. Second seed Andy Murray faces an all-British first round against wildcard Liam Broady. Fourth seed Stan Wawrinka, Murray's prospective semi-final opponent, begins against American teenager Taylor Fritz.
US Open champion Naomi Osaka continued to flourish in front of her home crowd at the Pan Pacific Open in Tokyo, as she comfortably dispatched Barbora Strycova 6-3, 6-4 on Friday to reach the semi-finals.
She will now play Dutch 15th seed Kiki Bertens, who saw off Australian qualifier Daria Gavrilova 6-3, 6-3, in Saturday's semi-final on the red Foro Italico clay.
When this year's French Open draw was made just over a week ago, American Shelby Rogers was right near the back of the queue, just avoiding the qualifiers by scraping in on the direct entry list.
Here are images from a hot, hot day from Melbourne Park...
Denmark's Caroline Wozniacki battled back after a mid-match slump to beat Angelique Kerber of Germany on Friday and book a place in the semi-finals of the Pan Pacific Open.
Penpix of the top women's contenders at the 2017 French Open:
Pliskova, a finalist at last year's US Open who reached the semi-finals at Indian Wells last week, relied on her booming groundstrokes and strong returning to dispatch her American opponent in 59 minutes.
Simona Halep has been in red-hot form and the absence of top-ranked Australian Ash Barty, who won her maiden Grand Slam in Paris last year, and US Open champion Naomi Osaka, will boost her chances further.
PHOTOS from day seven of the Wimbledon championships at the All England Lawn Tennis in London on Tuesday.
Images from Day 8 of the Australian Open in Melbourne on Monday.
Following Iga Swiatek's victory over Coco Gauff in the final, here's a list of French Open women's singles champions:
Order of play on the main show courts at the French Open.
David Ferrer sent local favourite Bernard Tomic packing with an easy 6-3, 7-5 win in the opening round of the Brisbane International on Monday.
A summary of sports events and sports persons, who made news on Tuesday
Former world number one Karolina Pliskova is confident that splitting with coach David Kotyza will not be a hindrance as she attempts to go it alone over the home stretch of the season, leading up to the WTA Finals in Singapore next month.
IMAGES from Day 6 of the Australian Open in Melbourne, on Saturday.