Venus Williams battled past fellow American Laura Granville 7-6, 6-4 to reach the Memphis International semi-finals
Top seed Amelie Mauresmo suffered her second successive early exit when she lost 7-5 6-7 7-6 to Australia's Samantha Stosur in the second round of the Italian Open on Wednesday.
The defending champion continued her comeback with a victory over Martina Mueller.
Sania Mirza and Liezel Huber went down 6-2, 7-5 against Anna-Lena Groenefeld and Meghann Shaughnessy.
Former world number one Hingis, chasing a record fifth Pan Pacific crown, reached the last four by pulverising Australia's Samantha Stosur 6-0 6-1.
Mahesh Bhupathi and Radek Stepanek scraped through into the third round of the Australian Open.
They beat Fernando Verdasco and Anabel Medina Garrigues in the first round of the mixed doubles at Wimbledon.
Venus Williams's bid for a 50th WTA title ended when she fell to Kazakhstan's Yulia Putintseva in the Round of 16 at the Volvo Car Open on Thursday, while Australian Open champion Angelique Kerber breezed into the last eight.
Top seed Maria Sharapova was stretched by Serbia's Ana Ivanovic before she claimed a 7-6 7-5 win to reach the semi-finals of the Linz Open on Friday.
The Indian ace and Samantha Stosur later crashed out of the mixed doubles, losing in the first round.
Martina Hingis crushed Maria Kirilenko 6-2, 6-1 to set up a semi-final clash with Maria Sharapova in Tokyo
Dinara Safina and Maria Kirilenko were upset in the first round of San Diego Classic.
The Belgian battled past Jelena Jankovic 5-7, 6-2, 6-2 in the second round of the Bank of the West Classic
Sania and Michaella Krajicek lost to Elena Dementieva and Flavia Penetta in the second round of the women's doubles at Wimbledon.
Sania Mirza's advanced to the second round of the doubles main draw at Strasbourg Open.
They set up a clash with Samantha Stosur and Paul Hanley of Australia in the semi-finals which will be played on Thursday.
China beat Australia 2-0 in the Fed Cup tie, while India registered a 2-1 victory over Korea to finish third.
Factbox on Latvian Jelena Ostapenko, who beat Romania's Simona Halep 4-6 6-4 6-3 to win the French Open on Saturday and claim her first grand slam title:
The blonde Sharapova -- billed the new Anna Kournikova -- was one of eight women given berths in the main draw of the grasscourt Grand Slam.
The Indian ace and partner Katarina Kachlikova of Solvakia lost in the second round of the doubles event.
In his 28th season on tour and even after winning 18 Grand Slam titles in men's and mixed doubles, the 45-year-old Leander Paes still feels the need to reinvent himself to keep up with the changing times in professional tennis.
They went down to top seeds Australia 2-1 in the Fed Cup Asia-Oceania zonal final in Korea.
Former US Open champion Juan Martin del Potro's comeback from a lengthy injury layoff was cut short by Kazakhstan qualifier Mikhail Kukushkin in the quarter-finals of the Sydney international on Thursday.
The Australian summer claimed another victim when Russia's Elena Dementieva pulled out of the Sydney International because of heat illness.
The top-seeded Australian meets qualifier Ivo Minar, who beat fellow Czech Radek Stepanek 6-1, 6-2 to reach his first ATP final.
Serena, a six-times champion in New York who is seeded 17th, will start her campaign against Polish world number 60 Magda Linette and could face Venus in the third round before a possible fourth-round showdown with Romanian top seed Halep.
U.S. Open champion Svetlana Kuznetsova beat Australian Samantha Stosur 6-4, 6-4 to reach the quarter-finals.
IMAGES from the matches played at the Miami Open on Thursday
IMAGES from the matches played on Day 4 of the Wimbledon Lawn Tennis Championships at All England Lawn Tennis and Croquet Club on Thursday
Here are some of the best moments from the 2019 Australian Open.
Former US Open champion Juan Martin Del Potro underlined his status as a dark horse for next week's Australian Open by hammering Dmitry Tursunov to reach the final of the Sydney International on Friday.
Indian shuttler Ajay Jayaram overcame Rajiv Ouseph of England to enter the men's singles final of the $50,000 Yonex Dutch Open Grand Prix, in Almere, The Netherlands.
'Remarkable discipline for training, competition, sacrifice, perfection, a little crazy but a legend of a bloke. Bravo Andy'.
Maria Sharapova's reduced suspension for a doping violation is set to provide a healthy boost to her bank balance with corporate sponsors reaffirming their commitment to the Russian player. The 29-year-old can return to the court next April after the Court of Arbitration for Sport reduced her two-year ban by nine months on Tuesday. Sharapova's stunning admission in March that she had tested positive for meldonium at the Australian Open, and her subsequent ban by the International Tennis Federation, saw a number of sponsors distance themselves from her.
Veteran Indian tennis star Leander Paes and his Swiss partner Martina Hingis sailed into the quarter-finals of the mixed doubles event at the Australian Open with straight sets win over Australian duo Matt Reid and Casey Dellacqua, in Melbourne on Monday.
Svetlana Kuznetsova opened the defence of her Sydney International title with a comfortable 6-1, 6-4 victory over Irina-Camelia Begu on Sunday as the Australian Open warm-up event suffered a pair of big-name withdrawals.