Stefanos Tsitsipas beat Benoit Paire and Richard Gasquet defeated David Goffin at the Ultimate Tennis Showdown.
On a high after winning his first tournament of the season in Marseille, Stefanos Tsitsipas is through to round two in Dubai.
It has not been the best of starts to 2020 for Stefanos Tsitsipas, but he will play in his first quarter-final of the season in Marseille.
There were mixed fortunes for the French stars in Marseille on Monday, but sixth seed Benoit Paire advanced.
Belgium's David Goffin joins a strong French contingent in the quarter-finals of the Open Sud de France after overcoming Alexander Bublik.
As several seeds fell in the men's draw, Roger Federer and Novak Djokovic reached the Australian Open third round.
Denis Shapovalov and Borna Coric are out of the Australian Open, while Novak Djokovic needed four sets to get past Jan-Lennard Struff.
Ugo Humbert edged Benoit Paire to win his first ATP Tour title at the Auckland Open.
Russian Andrey Rublev has started the year in scintillating form, reaching his second final of 2020 on Friday at the Adelaide International.
The seeds continue to fall in Auckland, while Felix Auger-Aliassime put in an imperious showing in Adelaide.