The tennis world will tonight witness the return of former world number one Novak Djokovic to competitive action as he begins his quest for an unprecedented sixth BNP Paribas Open title next week in Indian Wells, California.
Federer, the defending champion and five-time victor, needed just 58 minutes to wrap up a 6-2 6-1 victory.
Federer continued: "I wasn't playing that good in my first [opening] round".
Sela won 6-4, 6-4 in just 91 minutes against world number 24 Edmund, who recently replaced Andy Murray as British number one.
Federer and 10th seed Djokovic both came into the tournament seeking to become the first six-time victor of the event. Djokovic who had been out of action for nearly two months after his defeat against Korean Chung at the Australian Open had taken the second half of 2017 off to heal from an elbow injury.
After his defeat, a bemused Djokovic said: "It felt like the first match I have ever played on the tour, very weird".
Djokovic is making a cautious return to the ATP Tour after stopping his 2017 season following Wimbledon due to a right elbow injury.
Djokovic took six months off after Wimbledon previous year and returned at January's Australian Open, where he lost in the fourth round. His backhand, traditionally his most consistent and game-breaking weapon, bled errors-32 in all.
"I was feeling like he was not loving my slice and I was also mixing in dropshots", said Federer, who extended his ideal record this season to 14-0. "When you go away from the game for a two-month period, it starts feeling a little bit that way".
"But it's not easy to deal with this kind of frustrations after injuries or when you always be the favorite to win a tournament, you come here and you lose in first round". It is still early stages for Novak coming back and the first one after surgery.
Federer is preparing to take on Filip Krajinovic in the third round at Indian Wells.
Daniel, who is ranked 109th in the world, advanced to the third round where he will face Gael Monfils of France.
The 7-6 (7-3) 4-6 6-1 loss resulted in a quick exit from a tournament the Serbian has won five times.