The 36-year-old had failed to win a Grand Slam title since 2012 when he chose to end his season after Wimbledon in July, 2016, which raised a number of questions about his future in the game.
"I actually was explosive out there today and I felt good", he said.
Federer, the defending champion and five-time victor, needed just 58 minutes to wrap up a 6-2 6-1 victory.
Federer blasted six aces, had one double fault and won 89 percent of his first serve points, losing just three points on his serve the entire match. It should be noted that Federer is bidding to snap his own mark as the oldest player to ever win the tournament, after setting the record past year.
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Krajinovic had no answer for Federer's serve or relentless return game and ended up winning just 31 of the match's 93 points. It was the fifth time in the last decade that a player ranked outside the top-100 has defeated Djokovic.
But Verdasco struck when it mattered, taking a 5-3 lead in the deciding set after breaking the Bulgarian and securing the match on the second match-point.
"I was grateful to be out on the court after surgery that quickly but at the same time just didn't feel good at all".
The 36-year-old senior tennis star, who has already won the Australian Open and Rotterdam Open this year, will now lock horns Frenchman Jeremy Chardy for a place in the quarter-finals.
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She became the UFC Women's Bantamweight Champion and went on a 12-fight undefeated streak before losing to Holly Holm in 2015. She has done few interviews and the public has only learned of her lack of UFC plans via UFC president Dana White .
His third-round opponent is Argentina's Leonardo Mayer, who had been scheduled to play Kei Nishikori in the second round before the world No. 25 withdrew through illness.
The match was suspended due to rain at 2230 local time poised with the second set tied at 2-2, and no further play was possible. Cuevas was leading 3-6, 6-4, 4-2 when Thiem packed it in.
109 kept his focus to hand a 7-6 (3) 4-6 6-1 loss to the Serb.
In other third-round matches, No. 7 Caroline Garcia of France beat 26th-seeded Daria Gavrilova of Australia 7-5, 6-4; No. 10 Angelique Kerber of Germany defeated No. 24 Elena Vesnina of Russian Federation 7-5, 6-2; and American Danielle Collins continued her run with a 6-4, 6-4 win over fellow wild card Sofya Zhuk of Russian Federation.
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