Carla Suarez Navarro advanced to the semifinals of the season-ending Tournament of Champions by beating Tsvetana Pironkova 7-6 (2), 6-1 on Friday.
Garbine Muguruza moved a step closer to the semifinals by beating favorite Flavia Pennetta of Italy 0-6, 6-1, 6-1 in the group stage at the season-ending WTA Tournament of Champions on Thursday.
Second-seeded Alize Cornet of France went out in the second round of the Luxembourg Open after losing 6-2, 6-3 to Kiki Bertens of the Netherlands on Wednesday.
Top-seeded Andrea Petkovic of Germany exited the Luxembourg Open in the first round on Tuesday, losing 6-4, 6-2 to Pauline Parmentier.
Karolina Pliskova of the Czech Republic rallied to defeat Anna-Lena Friedsam of Germany 2-6, 6-3, 6-3 on Saturday and set up a final against Camila Giorgi of Italy at the Generali Ladies.
Top-ranked Serena Williams will combine with Wimbledon doubles champion Jack Sock in the United States team which will compete in a star-studded Hopman Cup tournament in January.
Serena Williams narrowly avoided a bagel against Spanish qualifier Silvia Soler-Espinosa, then won 13 of the next 15 games to pull out a 7-5, 6-2 victory Monday in the first round of the China Open.
Third-seeded Petra Kvitova swept aside Caroline Garcia 6-3, 6-4 to reach the semifinals of the Wuhan Open on Thursday.
Maria Sharapova was knocked out of the Wuhan Open by Swiss qualifier Timea Bacsinszky 7-6 (3), 7-5 in the third round on Wednesday.
Top-ranked Serena Williams is out in the second round of the new WTA event at Wuhan, retiring after 11 games on Tuesday and dropping a third match to Alize Cornet this year.
Romania's Monica Niculescu took advantage of a dozen double-faults by Alize Cornet to beat the Frenchwoman 6-4, 6-0 to win the Guangzhou Open on Saturday.
Alize Cornet of France will play for her second title of the year in the Guangzhou Open final after beating Timea Bacsinszky of Switzerland 6-1, 7-6 (5) on Friday.
Chinese wild-card entry Yafan Wang advances to the semifinals of the Guangzhou Open.
Sole surviving seed Alize Cornet of France beat 2009 champion Shahar Peer of Israel 3-6, 7-5, 6-1 in the second round of the Guangzhou Open on Wednesday.
Top-seeded Samantha Stosur was the most notable among the five seeds to lose in first-round action at the Guangzhou Open on Tuesday.
Lin Zhu of China advanced to the second round of the Guangzhou Open by beating sixth-seeded Roberta Vinci of Italy 6-3, 7-6 (7) Monday.