Kalinskaya overcame seven double faults and converted seven of 13 break chances to advance in two hours and 18 minutes in the only three-set match of the day.
England’s Katie Boulter defeated Italy’s Sara Errani 6-3, 6-2, China’s Ye-Xin Ma rolled to a 6-2, 6-2 victory against compatriot Xiaodi You, Czech Katerina Siniakova beat Poland’s Magda Linette 6-2, 6-4, and Germany’s Ella Seidel was a 6-3, 6-1 winner over Liechtenstein’s Kathinka von Deichmann.
Third-seeded Elise Mertens of Belgium crushed Japan’s Mai Hontama 6-1, 6-1 in 61 minutes in a first-round match in Osaka.
Three other seeded players also advanced. No. 4 Marie Bouzkova of the Czech Republic outlasted Japan’s Moyuka Uchijima 7-6(6), 2-6, 6-3, fifth seed Elina Avanesyan of Armenia defeated Ashlyn Krueger 7-6(1), 6-3, and seventh seed Diane Parry of France rallied for a 4-6, 7-6 (4), 6-1 win over Russia’s Erika Andreeva.
Romania’s Ana Bogdan was a 6-2, 6-2 winner over Russia’s Veronika Kudermetova, Germany’s Eva Lys defeated Colombia’s Camila Osorio 6-2, 6-3, Belgium’s Greet Minnen beat Canada’s Bianca Andreescu 6-3, 6-0, and Harriet Dart of Great Britain overcame Germany’s Laura Siegemund 3-6, 7-5, 7-5.