Federer has to at least reach the semi-finals this week to make sure he retains his world No 1 ranking and, despite losing his serve early in the first set, he outmanoeuvred the Serbian in a 6-2 6-1 victory, which lasted 58 minutes.
The win sets up a third-round showdown with Spaniard David Ferrer, who defeated Tennys Sandgren of the U.S. 6-2, 7-6 (7-3).
Meanwhile, America's Sloane Stephens who has been struggling ever since her US Open win lost to Daria Kasatkina of Russian Federation 6-4, 6-3, and fell to 2-4 in matches this year.
She has now won three straight, beating the No. 23 seed Anastasia Pavlyuchenkova in the second round and then transforming her first appearance on this tournament's main court into a coming-of-age moment by upsetting Petra Kvitova, the No. 9 seed and two-time Wimbledon champion, 6-2, 6-4, on Sunday in the third round.
'It's probably the stat that I'm most proud about in my tennis career, ' he said.
Federer said he understands well how even a champion like Djokovic could be struggling to find his game so soon after having surgery.
"Very weird - I just completely lost rhythm", Djokovic said. "When you go away from the game for over a two-month period it starts feeling a little bit that way".
"I was grateful to be out on the court after surgery that quickly but at the same time I just didn't feel good at all". "He's only going to get better from here". Cuevas was leading 3-6, 6-4, 4-2 when Thiem packed it in.
"I was attacking when I had my chances and controlling most of the times the points", said Cilic.
"Whereas, here, now you play the same guy the next day, so you can really compare how different conditions are".
In other women's third round matches on Monday, French seventh seed Caroline Garcia defeated Australia's Daria Gavrilova 7-5, 6-4.
"So I'm on a good run right now, and I try to maintain that, and you only maintain that if you respect every opponent". "Especially, you know, in a crowd like this, it's pretty wonderful to do it, and I'm pretty happy... it's going to be a huge win for my career in the future, for sure".
TN forest fire: Toll climbs to 11; 17 hurt grievously
Responding to questions, the CM said that the trekking expedition was undertaken without permission from forest department. She said 10 members, including her, took shelter on the other side of the hill and were rescued by about 6.30 pm.
Samsung shares hurt by negative Morgan Stanley forecast
The company will be starting construction soon on a special EUV facility as part of their Hwaseong complex in South Korea. The Note 8 has seen an incredible return to form for the company and saw over 4 million devices sold around the world.