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Konta parted with her coach Dimitri Zavialoff for a second time after crashing out of the French Open at the hands of Sorana Cirstea in the first round.
The British number one was back in business on home soil on Tuesday, dispatching Pattinama Kerkhove 6-1 6-3.
Kateryna Kozlova will be Konta's next opponent after she upset 13th seed Madison Brengle 6-3 5-7 6-3.
Donna Vekic, the third seed from Croatia, breezed into the third round with a 7-5 6-1 success over Leonie Kung.
Viktorija Golubic also progressed, having won the first set 6-1 before Kristie Ahn retired, while Nina Stojanovic got the better of Oceane Dodin 7-6 (7-4) 7-5.
Georgina Garcia Perez fought back to knock out 18th seed Christina McHale, and there were also wins for Tereza Martincova and Zarina Diyas.