Tunisia's Jabeur became the first Arab woman to reach the third round of a Grand Slam when she defeated sixth seed Cibulkova of Slovakia 6-4, 6-3 at the French Open.
This time last year Johanna Konta, 25, was a largely unknown entity, but her run to the Australian Open last four in 2016 put her on the map and she followed it up with a stellar season that saw her named the WTA's most improved player
Both Johanna Konta and Caroline Wozniacki are angling for a maiden Grand Slam title with the winner of their clash on Saturday potentially facing sixth seed Dominika Cibulkova in the Australian Open fourth round and Serena Williams in the quarters.
Dominika Cibulkova hardly broke a sweat as she breezed past Germany's World No.31 Laura Siegmund while Caroline Wozniacki dumped Olympic champion Monica Puig out of the Sydney International
Dominika Cibulkova defeated Poland's Agnieszka Radwanska in a high-quality clash to secure her first Wimbledon quarter-final berth since 2011
Simona Halep will now move up in the women's singles rankings from seventh to fifth when the latest rankings are released on Monday.
Seventh seed Ana Ivanovic lost 3-6, 6-3, 3-6 to Slovakia's Dominika Cibulkova.
The so-called "pocket rocket" from Slovakia went down 6-2, 6-2 as Williams unleashed her own weapons of mass destruction in a one-sided clash for a final four spot.
Top seed Serena Williams crushed Dominika Cibulkova of Slovakia 6-2, 6-2 to move one step closer to her 19th Grand Slam title.
Unseeded Victoria Azarenka lost 2-6, 6-3, 3-6 against 11th seed an last year's finalist Dominika Cibulkova of Slovakia.
World number 1,208 Cici Bellis knocked out 12th seed Dominika Cibulkova 6-1, 4-6, 6-4 to become the youngest player to win a match at the US Open since Anna Kournikova in 1996.
Gasquet, who is ranked 10th in the world, won in a tight three-setter 4-6, 6-4, 6-4 in two hour 23 minutes to record his second victory over Kukushkin in as many meetings.
The 22-year-old fifth seed -- ranked 18 in the world -- took 1hr 41minutes to defeat her seventh-seeded opponent and 2011 US Open champion and record only her second win in five meetings with the Australian.
Serena, coming off a tournament victory in the Swedish Open on July 21, will face third-seeded Agnieszka Radwanska of Poland, a 7-6 (1), 7-5 winner over fifth-seeded Sara Errani of Italy.
Azarenka, the Belarus player ranked No. 3, won a sloppy match against the Serb as both players committed more unforced errors than hit winners. The two-time Australian Open champ will face fifth-seeded Sam Stosur of Australia, a 7-6 (2), 6-3 winner over Virginie Razzano of France.
Slovakian third seed Cibulkova shook off the memory of four prior defeats against Radwanska, including a 6-0, 6-0 thrashing in the final at Sydney in January, to claim a third career WTA title.
Radwanska has 12 career titles having won back-to-back tournaments to start the year. She beat Yanina Wickmayer 6-4, 6-4 in the Auckland final before destroying Cibulkova a week later.
Radwanska, ranked fourth in the world and seeking her third title of 2013 after triumphs in Auckland and Sydney, had to battle to subdue her 40th-ranked opponent in two hours and 14 minutes.