Kirilenko recorded seven breaks in seven receiving games in a 6-2, 6-0 rout of Lenka Wienerova. Kirilenko was the 2007 Korea Open runner-up.
Third-seeded Kaia Kanepi also moved into the second round, beating Rika Fujiwara 6-2, 6-7 (5-7), 6-0 while eighth-seeded Yung-Jan Chan topped Mata Santangelo 1-6, 6-3, 6-4. But fourth-seeded Carla Suarez Navarro was ousted by Klara Zakopalova 6-1, 6-7 (3-7), 6-4 and seventh-seeded Marina Erakovic was routed 6-2, 6-0 by Samantha Stosur.
Others posting wins Tuesday were Ekaterina Makarova, Ayumi Morita, Anastasia Pivovarova, Lucia Safarova and Stephanie Dubois.
The tournament continues through Sunday when the 2008 Korea Open titlist will take home $22,900.
Swim Week Miami Beach 2014 [PHOTOS]