Edmund sailed through in straight sets 6-3, 6-4 against world number 70 Jeremy Chardy and will face fourth seed Dominic Thiem of Austria.
Swiatek is positioned to face American fourth seed Jessica Pegula in the semi-finals.
They now face eighth-seeded pair of Canada's Vasek Pospisil and local boy Jack Sock, whom they beat 6-1, 6-4 in Paris.
The Australian was warned for bad language and docked a point for unsportsmanlike conduct after throwing his racquet into the stands during Friday's 6-3, 6-4 defeat by Borna Coric in the Murray River Open at Melbourne Park.
This year's French Open welcomes up to 5,388 spectators
World No 1 Novak Djokovic during his semifinal match against Jeremy Chardy at the Rogers Cup on Saturday, complained to the umpire that someone's cigarettes were making him dizzy.
Mahesh Bhupathi returned to Grand Slam action with a first-round win at the Australian Open but Leander Paes' bid fell flat at the first hurdle, in Melbourne, on Wednesday.
Defending champion Novak Djokovic made a sticky return to action before recovering from losing the opening four games to beat Germany's Jan-Lennard Struff at the Qatar Open on Monday.
Andy Murray took another step towards securing a World Tour finals berth when he fought off a typically dogged David Ferrer to win 6-4, 7-5 and move into the final of the Valencia Open on Saturday.
The Serbian fought back from a first set bagel to storm into the quarters
Roger Federer, who will be chasing an 18th Grand Slam title at the Australian Open later this month, breezed through to the Brisbane International men's semi-finals with a 6-1, 6-1 thumping of Australian Marinko Matosevic.
World No. 3 David Ferrer has reached the semi-finals of the Valencia Open for the fourth consecutive year with a 6-4, 4-6, 6-0 win over fifth seed Jerzy Janowicz.
Andy Murray demolished Croatian teenager Borna Coric 6-1, 6-2 in the second round of the Paris Masters on Wednesday to set up a Davis Cup-flavoured clash with Belgium's David Goffin.
Indian tennis star Leander Paes and his German partner Andre Begemann knocked out top seeds Lukasz Kubot and Nenad Zimonjic in straight sets to storm into the semi-finals of the ATP Winston-Salem Open.
India's tennis stars enjoyed comfortable wins in the Australian Open on Thursday as Sania Mirza eased into the second round with partner Martina Hingis while Rohan Bopanna also registered a straight sets victory in the men's doubles first round.
With rain having washed out Wednesday's play, Federer along with champion Rafael Nadal and top seed Novak Djokovic all face playing back-to-back matches on Thursday if they want to reach the quarter-finals.
Second Andy Murray breezed to a 6-3, 6-0 semi-final victory over Kei Nishikori on Saturday to set up a final with Novak Djokovic at the Rogers Cup in Montreal.
Serena Williams faces her first seeded opponent at the French Open on Thursday and will hope to use her booming serve to beat Australian Ashleigh Barty in the second round.
Former world number one Serena Williams returns to Grand Slam action for the first time in over 15 months, when she goes up against Czech Kristyna Pliskova in the French Open first round.
Images from Day 4 of the 2023 Australian Open, at Melbourne Park.
Veteran Leander Paes brushed off the disappointment of Rio Olympics as he and his German partner Andre Begemann made it to the final of the ATP Winston-Salem Open beating Swede Robert Lindstedt and Pakistan's Aisam-ul Haq Qureshi in a close encounter.
Jo Wilfried Tsonga defied doctor's orders to continue his match against Marin Cilic in the Davis Cup final on Friday, although it was all in vain as he slumped to a straight-sets defeat.
World No 2 Djokovic, who received a first-round bye, broke his opponent's serve four times to extend his winning run to 19 matches.
Leander Paes has said he's all geared up to win a medal in next year's Rio Olympics.
Seventh seed Wawrinka of Switzerland set up a third-round meeting with Bulgarian ninth seed Grigor Dimitrov after seeing off Argentine Juan Monaco 6-4, 6-1.
Date-Krumm, ranked 84, is a lengthy outsider to cause an upset against the dominant force in the women's game who is currently on a 33-match winning streak.
Roger Federer and Lleyton Hewitt will resume one of the oldest rivalries in tennis when they contest the Brisbane International final on Sunday.
Defending champion Novak Djokovic defeated Belgium's Steve Darcis 6-0, 7-5 on Monday to power into the last 16 of the Miami Open.
Serena Williams and Naomi Osaka will join Rafael Nadal and Novak Djokovic in playing a pre-Australian Open warm-up exhibition
Nadal converted two of three break chances to claim his 19th win in 22 encounters against the Swiss.
News of all that's transpired on and off the tennis courts
Serena Williams and Marin Cilic both survived third round scares on Friday to keep their US Open title defences on track but there was no escape for Rafael Nadal with the twice-winner going down in a late night thriller.
World number three Roger Federer is playing his first tournament on clay for three years as he prepares for the French Open.
Images from all the action on Day 3 at the Australian Open in Melbourne on Wednesday
An All-Asian tie that catches the eye is rarer than a bottle of Australian wine at Roland Garros but Kei Nishikori's clash with Chung Hyeon in the third round of the French Open could be one to savour.
Ramkumar, who ended a runner-up at the Newport event last week, lost 4-6, 4-6 to American Taylor Fritz.
Professional sports events in Italy have been played without fans since March due to the COVID-19 pandemic but sports minister Vincenzo Spadafora said fans would be allowed to attend the closing stages of the tournament on Sunday and Monday.
World number one Naomi Osaka lost in three sets to unseeded Swiss Belinda Bencic in the Madrid Open quarter-finals on Thursday as Simona Halep, Sloane Stephens and Kiki Bertens completed the final four line-up.
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.
A summary of the matches from Day 9 at the French Open.
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