French players had mixed results on Thursday at the **ATP 500** in Beijing, a professional tennis tournament that attracts top players from around the world. Quentin Halys, currently ranked 50th in the world, advanced to the quarterfinals by defeating Ignacio Buse in two sets, 6-1, 7-6(3). The match lasted 1 hour and 26 minutes, and it was clear that Buse struggled to adapt to the playing conditions. This was Buse’s first match at the **ATP 500** in Beijing, and he was eliminated in the opening round. Halys will now face Alex de Minaur, a top-10 player and seeded number 5 in the tournament. De Minaur had previously defeated Mariano Navone in two sets, 7-6(4), 6-2. The two players met earlier this summer in Cincinnati, where Halys won the first set 6-1 but ultimately lost the match 1-6, 6-3, 7-6(4) after a long and intense match that lasted 2 hours and 16 minutes. Another French player, Arthur Rinderknech, ranked 33rd, was scheduled to face qualifier Alex Molcan but withdrew before the match. The official reason for his withdrawal has not yet been announced. His absence allowed Tomas Machac, who had previously lost to Arthur Gea in the qualifying rounds, to enter the draw as a lucky loser. Molcan won his match against Machac in two sets, 6-3, 6-2, and will now face Karen Khachanov in the second round.