The 27-year-old, ranked 42 in the world, missed the tests in a 12-month period with the French Tennis Federation (FFT) saying she would not be considered for Fed Cup duty while the inquiry was ongoing.
Alize Cornet called for a medical timeout and required treatment during changeovers in the final set of her second round clash against Germany's Tatjana Maria.
The 42nd-ranked Alize Cornet was too strong and consistent for the misfiring Eugenie Bouchard, winning the summit clash of the Hobart International in just 68 minutes.
Jiri Vesely defeated Lleyton Hewitt, who will retire after the Australian Open, 6-3, 6-7 (1), 6-4 before Karolina Pliskova came from 3-1 down in the second set to beat Jarmila Wolfe Gajdosova 7-5, 6-3 at Perth, Western Australia.
Alize Cornet came onto the court to play in Hopman Cup with "Je Suis Charlie" on a handwritten note on her bag, having tweeted the same message just hours after the Paris attack.
Romania's Monica Niculescu captured the second WTA Tour title of her career, following her win in Florianopolis last year.
Eugenie Bouchard's 7-6 (7/5), 7-5 win against Alize Cornet propelled her into the fourth round of Wimbledon.
The French - Alize Cornet and Jo-Wilfred Tsonga - will face the top-seeded Polish pairing of Agnieszka Radwanska and Grzegorz Panfil in Saturday's final.
The Asian pair of Rohan Bopanna and Jie Zheng defeated unseeded Swedish-Hungarian duo Johan Brunstrom and Katalin Marosi 7-6(4), 3-6, 6-1 in one hour and 29 minutes.
Li led fellow seeds to opening victories on a calm day at normally blustery Devonshire park. Number three Angelique Kerber beat Sorona Cirstea 6-4, 6-4 while 2011 Wimbledon champion Petra Kvitova stopped Monica Niculescu 6-4, 6-1.
The second-seeded Chinese Li Na player will play 2011 champion Marion Bartoli of France in the second round.
Third seed Victoria Azarenka came from a set down to beat France's Alize Cornet 4-6, 6-3, 6-1 to reach the French Open fourth round on Saturday.
France's Alize Cornet beat Anastasia Rodionova of Australia in straight sets to book a place in the second round of the Kremlin Cup on Tuesday where she will play Australian Sam Stosur.
Top-ranked Victoria Azarenka and No. 2 Maria Sharapova both advanced to the second round of the China Open on Monday.
Alize Cornet of France defeated Yanina Wickmayer of Belgium 7-5, 7-6 (1) on Sunday to win the Gastein Ladies for her first title in four years.
Italian second seed Francesca Schiavone won her fifth WTA title and first since the 2010 French Open when she captured the Strasbourg claycourt tournament with a 6-4, 6-4 win over Alize Cornet.
Women's world number two Maria Sharapova reached the quarter-finals of Stuttgart's WTA tournament on Wednesday.
Top-seeded Caroline Wozniacki breezed into the semifinals of the e-boks Open on Friday, defeating Alize Cornet of France 6-0, 6-3.
