"I'm happy I'm going in the right direction", Serena said.
"For the first set and a half I didn't really create much, especially on his serve", Raonic told reporters after the match.
No such problems for Federer, who won 35 straight points on his serve on route to beating Lukas Lacko of Slovakia 6-4, 6-4, 6-1.
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.
"Just because it seems like they just hit like 312 aces a match, and, I'm, like, Wow that's a good serve".
Five-time champion Venus Williams once again dropped the opening set but again dominated the rest of the match to win.
In total, the eight-time champion lost only nine of 61 points on his serve and broke Lacko five times, including with a forehand victor to close out the match.
15 dead as heat wave hits Canada
The death toll of Quebec's recent heat wave is up to 18, according to data released by the CIUSS on Wednesday evening. Another hot week is in store for the region, but the heat will finally lose its intensity as the weekend approaches.
Raonic, who said he was battling a virus, had just four break-point opportunities in the match, winning one.
Raonic also avoided a confrontation with a seeded player in the third round as qualifier Dennis Novak of Austria upset No. 17 Lucas Paille of France 6-4, 6-2, 6-7 (8), 3-6, 6-2 on Tuesday.
But where Pouille failed, his compatriot Gael Monfils succeeded in a 3-6 6-3 7-6 (7-5) 7-6 (7-3) triumph over Italian Paolo Lorenzi.
The 36-year-old American barely broke sweat in a one-sided first set but was tested by the world no.135 in the second without ever looking troubled.
"It was better than the first round". It was her 16th straight victory at Wimbledon, although she missed last year's tournament while pregnant.
Former world number one Karolina Pliskova finally made it to the third round on her seventh visit to Wimbledon after seeing off two-time Australian Open champion Victoria Azarenka 6-3, 6-3.