Heather Watson saw off teenager Belinda Bencic 7-5 6-4 to move into the second round of the WTA event at Indian Wells.
Nadia Petrova has withdrawn from the Australian Open after the death of her mother in a car crash.
Irina Khromacheva took to Twitter to express her delight at being in Russia's team to face Italy in the Fed Cup final.
It was a US Open of firsts fo Julia Glushko but in the end there was only disappointment as she lost to Daniela Hantuchova.
Organisers have announced the seedings for the US Open and Roger Federer is seeded only seventh.
WTA rankings on Monday (Last week's positions in brackets):
Laura Robson set up a second round clash against Caroline Wozniacki at Eastbourne after beating Yulia Beygelzimer.
Round-up: Urszula Radwanska progressed into the next round of WTA Den Bosch after she beat Olga Govortsova 6-2, 6-0.
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