Brady, from Harrisburg, Pennsylvania, was sidelined by knee and foot injuries since the summer of 2021. Back at full strength, she needed just 68 minutes to beat Kalinina, ranked number 28 in the world, by winning a whopping 18 of 20 first-service points (90%) and converting six of nine break-point opportunities.

Two other Americans won early Tuesday, with Hailey Baptiste (21) defeating Czech foe Karolina Pliskova (31) 6-1, 0-6, 6-3 and Peyton Stearns (21) topping Poland's Magdalena Frech (25) 6-1, 6-4.

Romania's Sorana Cirstea (33) won a marathon second-set tie-breaker to take down Petra Martic (32) of Croatia, 6-3, 7-6. Martic led 6-3 before Cirstea saved three straight set points; Martic eventually failed on seven occasions to close it out before Cirstea pushed ahead for good.

In evening matches, Canada's Leylah Fernandez (20) eliminated the United States' Bernarda Pera (28) 6-3, 7-5, and seventh-seeded Madison Keys of the US topped China's Qinwen Zheng (20) 7-5, 6-1.

Livesport Prague Open

Number four seed Linda Noskova (18) is the highest seed still standing in her home nation after beating Elvina Kalieva (20) 6-1, 6-2 in 60 minutes in the Czech Republic.

After another Czech player, number one seed Marie Bouzkova (25), was defeated on Monday, the second and third seeds lost their first-round matches on Tuesday.

Belgium's Yanina Wickmayer (33) rallied past Chinese numbner two Lin Zhu 1-6, 6-4, 6-2, and Yue Yuan (24) beat number three Shuai Zhang (34) 6-2, 6-2 in an all-Chinese battle.

Number nine seed Xiyu Wang (22) of China beat Denmark's Clara Tauson (20) 6-3, 6-2. French number six seed Alize Cornet (33) completed a 6-2, 4-6, 6-2 win over Czech foe Lucie Havlickova (18) after their match was suspended on Monday.

Other winners Tuesday included Germany's Jule Niemeier (23), the Czech Republic's Tereza Martincova (28), Kaia Kanepi (38) of Estonia, Emiliana Arango (22) of Colombia and Anna Karolina Schmiedlova (28) of Slovakia.