It took two incredibly close tie-breaks, but Jessica Pegula was ultimately able to find a way past Madison Keys to reach the last four.
Rinky Hijikata fought his way into the quarter-finals at Queen's, but had to do it the hard way, coming from behind to beat Jiri Lehecka.
Elena Rybakina was a break up in the first set, but let her lead slip as she was stunned in straight sets by Alexandra Eala.
Madison Keys, Elina Svitolina and Linda Noskova all progressed into the quarter-finals of the Berlin Open with wins on Thursday.
Rublev survives a three-and-a-half-hour epic to beat Popyrin and reach the last-16 in Cincinnati
A break in each set was enough to see Carlos Alcaraz beat Hamad Medjedovic & secure his 50th win of the season
Two unusual interruptions don't distract Jannik Sinner in his win over Gabriel Diallo
Holger Rune eased past American Alex Michelsen to reach the round of 16 at the Cincinnati Open