Serena reached the last eight at Roland Garros for the 10th time after pulverising 18th seed Elina Svitolina of Ukraine 6-1 6-1 in just over an hour on Court Philippe Chatrier.
The world No 1 one continues her pursuit of a record-equalling 22nd Open era Grand Slam title against 60th-ranked Yulia Putintseva of Kazakhstan.
The 34-year-old American faces the likelihood of playing four matches in four days as she targets a fourth French Open crown, but Serena played down concerns about the schedule.
"In Rome I played four in a row? Five? I don't know. But, you know, in Miami and Indian Wells you just play every day. It's something you just get used to. It's totally fine I think for me and for everyone."
Swiss eighth seed Bacsinszky ended any prospect of Serena facing sister Venus in the semi-finals after dumping out the elder Williams in straight sets, 6-2, 6-4.
Bacsinszky, who reached the semi-finals in Paris a year ago, reeled off nine of 10 games after trailing 0-2 in the first set to lay the foundation for her victory.
Bertens reached her first Grand Slam quarter-final after defeating American 15th seed Madison Keys 7-6 (7/4), 6-3.
The world number 58, who knocked out Australian Open champion Angelique Kerber in the first round, has now won 11 straight matches after arriving in Paris fresh from lifting the Nuremberg clay-court title as a qualifier.
Putintseva, 21, the youngest player left in the draw, extended her best run at a major with a 7-5, 7-5 victory over Spanish 12th seed Carla Suarez Navarro.
You’ve reached your limit of {{free_limit}} free articles this month.
Subscribe now for unlimited access.
Already subscribed? Log in
Subscribe to read the full story →
Smart Quarterly
₹900
3 Months
₹300/Month
Smart Essential
₹2,700
1 Year
₹225/Month
Super Saver
₹3,900
2 Years
₹162/Month
Renews automatically, cancel anytime
Here’s what’s included in our digital subscription plans
Exclusive premium stories online
Over 30 premium stories daily, handpicked by our editors


Complimentary Access to The New York Times
News, Games, Cooking, Audio, Wirecutter & The Athletic
Business Standard Epaper
Digital replica of our daily newspaper — with options to read, save, and share


Curated Newsletters
Insights on markets, finance, politics, tech, and more delivered to your inbox
Market Analysis & Investment Insights
In-depth market analysis & insights with access to The Smart Investor


Archives
Repository of articles and publications dating back to 1997
Ad-free Reading
Uninterrupted reading experience with no advertisements


Seamless Access Across All Devices
Access Business Standard across devices — mobile, tablet, or PC, via web or app
