Federer delivered a Centre Court masterclass lasting 89 minutes as the Swiss star hit 48 winners and 16 aces in his 6-4, 6-4, 6-1 victory.
"I'm pretty happy with my serve and controlling the emotions", Muguruza said.
Fabbiano won the second set with a break in game six and he also led 3-1 in the third before Wawrinka bounced back, earning his first break of the match at 2-3 and staying in touch with his rival before the weather sent the encounter into Thursday's schedule. He did not drop a point on his serve in the entire second set and kept that streak going until he was 30-0 up at 4-1 in the third, when Lacko sent a backhand victor down the line. "Sometimes your serve matches up better against certain players".
Kristina Mladenovic advanced to a Wimbledon third-round meeting with Serena Williams after defeating Tatjana Maria 6-2, 6-2.
The ninth-seeded American had struggled in the opening set of her first-round match with Johanna Larsson, but roared back to win.
Yellow weather warning in place as 31 day hosepipe ban announced
Irish Water said that these urgent conservation messages are of critical importance to marginal supply areas across the country. Britain is set to swelter for another two weeks, forecasters say, as water companies urge customers to use less water.
Wozniacki, plagued by an invasion of flying ants during the Court One clash, saved five match points but has now failed to get past the last 16 in 12 visits to the All England Club.
One of the title favorites did everything right in the opening two sets, scoring four breaks and never facing a break point to move a set away from the triumph.
Keys, the runner-up to close friend Sloane Stephens at the US Open last year, made the quarter-finals at Wimbledon in 2015 but was knocked out in the second round last year by Simona Halep. "If it's not two sets, then go to Plan B".
After losing just one set on her way to the Wimbledon title a year ago, Garbine Muguruza picked up exactly where she left off, beating British wild card Naomi Broady 6-2, 7-5 on Tuesday.
Juan Martin del Potro improved to 9-0 in the first round of Wimbledon with a 6-3, 6-4, 6-3 win over Peter Gojowczyk of Germany.
French 18th seed Lucas Pouille was cast aside on Wednesday by Austrian qualifier Dennis Novak, ranked 152 places below him.