The Thursday match was a rematch of a 2018 Australian Open semifinal in which Chung was forced to retire due to left foot blisters.
Federer overpowered his 21-year-old opponent, who was still in nappies when he won his first ATP point, by a 7-5, 6-1 scoreline. Playing in swirling winds, Suarez Navarro committed 29 unforced errors to 17 for Williams.
"Really I just woke up", Federer said in an on-court interview. I had to get it going again in Australia. When it comes to being rewarded for having booked a spot in the next phase of the tournament, Federer won twice. "I'm just trying to learn from Roger".
Maria Sharapova, meanwhile, has withdrawn from next week's Miami Open because of a left forearm injury. She defeated No. 31 Agnieszka Radwanska and No. 5 Karolina Pliskova on her way to the final, dropping just one set in six matches.
Coric is ranked 49th in the world and certain to improve after his Indian Wells run.
"Twelve years ago, a long time ago".
"I hung tough and put a lot of effort into it to get the record, if you like. At the end, he just got through". Philippe Dehaes told her, "She's 37, you're 20".
However, he started slowly against Coric and sent a drop shot into the net to allow Coric to serve for the opening set.More news: Dele Alli is world's best 21-year-old, says Mauricio Pochettino
There were 14 service breaks in the match. Williams won 10-8 in the third set.
He earned himself a 7-5 4-2 lead with aggressive instincts before Federer won four games in a row.
Del Potro has fought back from left wrist surgeries in 2014 and 2015 (twice) and another one on his right wrist in 2010 that almost caused him to quit tennis.
Federer then came from behind to edge the third set of a compelling match and ensure there would be no repeat of Simona Halep's shock exit in the women's draw, with either Milos Raonic or Juan Martin del Potro now next up in the final.
"You go for it?" he asked her. The German never managed a break point against Kasatkina's serve.
He clinched victory on the second match point when he blasted his 12th and final ace of the contest. "Pretty simple, not always easy to do". To top it all off, by finishing within the last four in the Californian desert, Federer matched his best start of the year.
The big Argentine had come from a set down to defeat Leonardo Mayer and Philipp Kohlschreiber in the last two rounds, but there were no such struggles on Saturday as he cruised past Raonic 6-2 6-3.