Gasquet picked up his seventh ATP title in Bangkok last year and has won twice. He advanced to the Thailand Open quarterfinals with a 6-3, 6-2 win over Lukas Lacko. Gasquet fought off all four of Lacko's break-point chances and won nearly three-quarters of the points on serve.
He also took nearly half (30-of-64) of the points off Lacko's serve and ended up with three breaks in the 67-minute match.
Lu Yen-Hsun posted the only upset on Thursday's schedule, beating eighth-seeded Lukas Rosol 6-3, 6-2 in a brisk 57 minutes. Rosol had 12 aces but Lu managed the only three breaks of the match.
No 4-seeded Gilles Simon, who lost to Gasquet in last year's tournament final, stopped Bernard Tomic 6-4, 7-5. He took almost 80 percent of the points when serving.
Other second-round results saw third-seeded Milos Raonic survive a three-set challenge from Marinko Matosevic 7-6 (7-3), 4-6, 6-4 in more than 2 1/2 hours and fifth-seeded Mikhail Youzhny beat Denis Istomin 6-3, 6-3 without facing a break point.
Friday's quarterfinals have No. 1-seed Tomas Berdych taking on Lu and Simon going against Igor Sijsling in the top half of the draw. Gasquet plays Youzhny and Raonic meets sixth-seeded Feliciano Lopez in the other quarters.