Roger Federer kept alive his hopes of reaching the semi-finals of the ATP World Tour Finals with a straight sets victory over Richard Gasquet.
The sixth seed had lost his opening match to Novak Djokovic but got it right against the eighth-ranked Frenchman, who was short of his best as Federer recorded a 6-4 6-3 success in an hour and 21 minutes.
Federer appeared to be on course to take the opening set in routine fashion thanks to an early break, with the serve firing on all cylinders.
But Gasquet finally made his presence felt by breaking back for 4-4 after an uncharacteristic error handed him two break points, and the Frenchman capitalised by forcing a backhand into the tramlines.
However, Federer's aggressive intent was once again to the fore as he swiftly moved up 30-0 and 40-15 in the next, gaining an immediate break when Gasquet hit a wild forehand long.
With the set once again at his mercy the Swiss showed his killer instinct, setting up set point with a huge ace down the middle before repeating the feat to take it in 34 minutes.
Gasquet's unforced errors continued into the second set and Federer immediately broke to 15, the eighth seed struggling to gain a foothold thereafter.
The Frenchman did engineer break points in both the fourth and sixth games, only for Federer to hold on both occasions, thanks largely to Gasquet's inability to keep the ball in play.
Federer was once again forced to fend off a break point in the eighth game when a backhand lob just evaded his net-bound opponent, and two big serves later Gasquet was serving to stay in the match.
Once again his delivery was put under pressure by the former world No 1, who uncharacteristically wasted five match points with unforced errors of his own, but Federer eventually sewed up the win when Gasquet netted a forehand.