Caroline Wozniacki received a walkover into the quarter-finals of the WTA Charleston event after Andrea Petkovic withdrew.
Laura Robson called herself a "double muppet" on court as she crashed out of the WTA Charleston event to Eugenie Bouchard.
John Isner has withdrawn from the Hopman Cup with a knee injury that has dashed American hopes in Perth.
Host nation Australia beat highly fancied Germany on the opening day of the Hopman Cup in Perth as Andrea Petkovic withdrew.
Venus Williams won her first WTA Tour title in almost two years with a 6-2 6-3 victory over Monica Niculescu in Luxembourg.
WTA round-up: Former world number one Caroline Wozniacki made it into the semi-finals of the Kremlin Cup with a victory over Dominika Cibulkova.
WTA round-up: Top seed Roberta Vinci beat Britain’s Anne Keothavong 6-4 6-1 to secure her progression through to the quarter-finals of the Luxembourg Open.
WTA round-up: Britain’s Anne Keothavong beat Kiki Bertens of the Netherlands 6-2 6-2 in their first-round match at WTA Luxembourg.
World number one Victoria Azarenka coasted into the quarter-finals in Linz, while Ana Ivanovic also progressed in Austria.
World number one Victoria Azarenka breezed into the last 16 of WTA Linz with a 6-0 6-2 win over Arantxa Rus of the Netherlands.
Britain's Laura Robson moved into the second round of the China Open with a 6-4 6-4 win over Kimiko Date-Krumm in Beijing.
Round-up: Third seed Caroline Wozniacki beat Sofia Arvidsson 7-6(4) 6-2 and secure her place in the quarter-finals of WTA New Haven.
Third seed Caroline Wozniacki eased into the second round of the New Haven Open with a regulation 6-3 6-3 win over Ekaterina Makarova.
Frenchman Gael Monfils has become the latest player to withdraw from the Olympic tennis competition.
Colombia's Mariana Duque-Marino will compete at the Olympics after a heel injury ruled out Estonia's Kaia Kanepi.
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