The world number two hit 42 winners, including eight aces, during his win over Falla, which came in one hour and 49 minutes.
However, the 2009 champion revealed that he will become more "satisfied" as he inches ever closer to tasting glory at Roland Garros for only the second time in his illustrious career.
"I'm not sure that the first round is any different," Federer told the official ATP website. "I think that as we go through the tournament, then we probably feel that we are more and more satisfied.
"But the first round is a bit like I want to win the first round, to be in the tournament and not to go back home immediately, to be one of the first ten players to go back home.
"So that's the whole idea about it. That is, you want to play a good match and then focus on the future. That's when I will start enjoying this moment."
Federer, who improved his record at the French Open to 62-15 as a result of his win over Falla, will face Marcel Granollers in the second round.