Kirjos, the 60th player in the world, beat the Italian, 77th on the ATP list after an hour and 54 minutes of play.
In the third round, Kirjos will play against the better player from the duel between Felix Auger-Aliasim and Mikael Immer.
Federer via Gasquet to the third round of Wimbledon
Swiss tennis player Roger Federer advanced to the third round of Wimbledon tonight with a victory against Frenchman Richard Gasquet in three sets 7: 6, 6: 1, 6: 4.
The eighth tennis player in the world won the 54th place on the ATP list in an hour and 54 minutes of play.
In the next round, Federer will play against the British Cameron Norie.