Dart also had to come from behind to maintain her bid in the women’s draw.

The 77th-ranked Dart, 30, dominated the final two sets against American 16-year-old Kristina Penickova to progress 5-7 6-0 6-3 and could meet fellow Briton Heather Watson or Spain’s Angela Fita Boluda.

Fran Jones, up against Germany’s Mona Barthel, and Katie Swan, taking on American Mary Stoiana, will also aim to reach the third and final qualifying round on Wednesday.

However, Jack Pinnington Jones took the opening set but eventually fell to a 2-6 7-6 (8-6) 6-3 defeat by Finland’s Otto Virtanen.

Former semi-finalist Grigor Dimitrov will face Virtanen after the 35-year-old maintained his bid for a 15th appearance in the US Open men’s singles draw with a 7-6 (7-5) 6-4 win against Kazakhstan’s Timofey Skatov.

China’s two-time US Open quarter-finalist Zheng Qinwen, contesting a Grand Slam qualifying event for the first time since the 2022 Australian Open, won 6-1 7-5 against France’s Clara Burel to set up a match against Russian Elena Pridankina.

There was also victory for 2019 US Open champion Bianca Andreescu, who defeated Ukraine’s Veronika Podre 6-0 6-3.

The 26-year-old will have to find a way past Slovenia’s 2021 French Open semi-finalist Tamara Zidansek to secure a first US Open main draw appearance in two years.

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