But the title favourite is seven-time champion Serena Williams, seeded 25th after her lengthy maternity leave, and due to face Russian qualifier - and fellow mother - Evgeniya Rodina later on Monday.
Williams, who has a kind run through to the semi-finals, will next take on Camila Giorgi of Italy.
Since seeds were introduced in the 1920s, it's the first time none of the top-10 have reached the women's quarterfinals at Wimbledon.
Ostapenko reached the last eight for the second straight year with a 7-6 (4), 6-0 victory over Aliaksandra Sasnovich, while Cibulkova beat Hsieh Su-Wei 6-4, 6-1. Pliskova was beaten 6-3, 7-6 (1) by No. 20 Kiki Bertens, who eliminated Williams' sister, Venus, last week. "For me, there's so much further I want to go to get back where I was, and hopefully go beyond that". Serena needs to win three more matches to earn the 24th Grand Slam singles title of her career, a mark which would tie current record holder Margaret Court.
Noted tennis fan Trump, who is to visit London, Windsor and Scotland, is not believed to be scheduled to attend any matches at Wimbledon at present. She should be relaxed, she looked nervous to me.' Boris Becker stated: 'I don't quite understand what happened in the women's game.
"You can be a mom, you can still play tennis and you can still be great", Williams said afterwards.
Bertens next faces 13th-seeded Julia Goerges, who beat Donna Vekic of Croatia 6-3, 6-2 to secure her first Grand Slam quarterfinal appearance.
Ostapenko also reached the quarterfinals previous year in her best Wimbledon showing, losing to eventual runner-up Venus Williams.
It may be that today, for the first time, Serena Williams does not manage to intimidate her opponent before a ball is struck.
"Each of us, seeded or not, we're just here to do our best".
Jelena Ostapenko and Dominika Cibulkova will also meet in Tuesday's quarterfinals. She was the lone top-10 women's seed still around at this upset-filled tournament, and now she's also gone.