Zidansek put up a fight and after the match, Osaka indicated there was room for improvement, reports Efe news.
"I served pretty well - I got broken twice, but she was a really great opponent," Osaka said.
"I'll try to play better next time."
The reigning US Open champion and world No.4 will meet Taiwan's Hsieh Su-wei (seeded 28th to Osaka's 4th) in round three for the third time at the event, after Hsieh beat Germany's Laura Siegemund 6-3, 6-4.
(This story has not been edited by Social News XYZ staff and is auto-generated from a syndicated feed.)
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