Knee surgery and a nagging back injury had restricted the 17-times grand slam champion to 22 matches this season and his no-show at the recent French Open ended a run of 65 consecutive major appearances.
Talk of time finally catching up with Federer has been doing the rounds. So all eyes were on the 34-year-old Swiss great as he stepped onto Centre Court where he had held the trophy aloft on seven occasions.
But Federer began his 18th consecutive Wimbledon campaign with a tidy 7-6(5) 7-6(3) 6-3 victory that, while never spectacular, was relatively comfortable.
He offered up not a single break point to the 51st-ranked Pella, and while he converted only one of the nine that came his way, he found an extra gear when required.
Federer's only real moment of alarm came at 5-6, 0-30 in the second set. But he quickly killed the danger and waltzed through the tiebreak to take a two-set lead. With light fading he made light work of the third set.
Federer's next appointment will be with British qualifier Marcus Willis, ranked 772nd in the world, on Wednesday.
"It's a great, great story and I'm very, very excited to be playing him actually. It's the best story in tennis for a while," Federer told reporters when asked about playing Willis, a tennis coach who survived six rounds of qualifying.
"It's going to be a great atmosphere."
While Federer was more than happy for Willis to take the spotlight after his win over Ricardas Berankis, he was more concerned with his own form and fitness after arriving at Wimbledon without a title in the first six months of the season for the first time since 2000.
"Time heals a lot of problems, a lot of issues," Federer said. "It's another day, another step in the right direction. It gives me confidence as I hopefully move forward.
"I've worked as hard as I possibly could since February. My big goal was to not miss Wimbledon, to be here, hopefully at 100 percent. Don't know yet if I am. But I'm definitely here winning in straight sets in my first round against a good player."
(Reporting by Martyn Herman, editing by Adrian Warner.)
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