Ana reached the third round of the Toray Pan Pacific Open with a 7-5, 6-4 victory over British wild card Laura Robson.
Ana was far from her best but won most of the key points and was composed throughout the 88-minute contest.
The 23-year-old will take on world No.26 Maria Kirilenko on Wednesday, after the Russian upset recent US Open winner Samantha Stosur.
The match is scheduled as the second of the day on Center Court and is set to begin sometime after 12pm local time (5am Central European Time; 11pm Tuesday Eastern Time).
