Kudryavtseva edged by eighth-seeded Ajla Tomljanovic 6-1, 3-6, 7-6 (7-2). Tomljanovic won two-thirds of the points on serve but Kudryavtseva was able to finish off three of her seven break chances.
The third break came in the third set and led to the tiebreaker that Kudryavtseva quickly pulled away in.
Dinah Pfizenmaier also advanced after a three-set win, beating Stephanie Dubois 6-7 (7-9), 6-3, 6-4 behind a 10-ace attack. She faced only one break point after the first set.
Also, Alison Van Uytvanck was on the court 58 minutes in a 6-1, 6-3 win over Olga Puchkova and Daria Gavrilova came away a 7-6 (7-2), 7-6 (7-3) winner over Vera Dushevina.
Kimiko Date-Krumm is the top seed for the tournament, with Yanina Wickmayer seeded second, Zhang Shuai the No. 3 seed and Ayumi Morita fourth. Zhang defeated Morita in Sunday's final of the WTA tournament in Nanjing, China.