Angelique Kerber and Elina Svitolina will face off in a Dubai Championships semi-final on Friday after both ran down opponents in quick straight-sets wins.
Top seed Simona Halep was impressive on Rod Laver Arena in thumping sixth seed Karolina Pliskova 6-3, 6-2, reeling off nine games in a row after going 0-3 behind in the first set.
Second seed Federer will now play fellow veteran Berdych, a semi-finalist in 2014 and 2015 at his most successful major, who demolished Italy's Fabio Fognini 6-1, 6-4, 6-4.
Roger Federer and Novak Djokovic kept up their relentless march towards a semi-final meeting at the Australian Open Saturday
Maria Sharapova was sent crashing out of the Australian Open in a crushing defeat by Angelique Kerber Saturday as Simona Halep survived a titanic struggle to make the last 16.
Milos Raonic was stunned by Lukas Lacko in the first round of the tournament.
It was the first time an Australian woman featured in the Sydney International final since 2005 when Alicia Molik took the title over Sam Stosur.
Naomi Osaka fired 22 winners as Angelique Kerber went tumbling out of the world's top 10 as well as the US Open.
Five tennis players have a chance to grab the world No 1 ranking at this week's Cincinnati Open.
Kerber, who lost to Serena Williams in the final 12 months ago, has failed to make the last eight at any of this year's three Grand Slams.
Three-time champion Novak Djokovic reached the fourth round for the 10th time, Angelique Kerber saved her No 1 rank with a win over Shelby Rogers.
Germany's Angelique Kerber became the first top seed in French Open history to lose in the opening round when she was knocked out by Russia's Ekaterina Makarova 6-2, 6-2 on Sunday.
Roger Federer defeated Kei Nishikori to book his place in the Australian Open quarters, while top seeds Angelique Kerber and Andy Murray both crashed out
Serena Williams will again be the cynosure of the women's singles competition in the Australian Open. She will face Switzerland's Belinda Bencic in a difficult first-round clash on Monday.
Dominika Cibulkova hardly broke a sweat as she breezed past Germany's World No.31 Laura Siegmund while Caroline Wozniacki dumped Olympic champion Monica Puig out of the Sydney International
Andy Murray won a second Wimbledon, became the first man to clinch two Olympic singles gold medals and snatched Novak Djokovic's world number one spot, ending the year on a five-title, 24-match winning run. In women's singles, Angelique Kerber knocked Serena Williams off her top spot after an 186-week reign.
The 2017 Australian open will see Andy Murray and Angelique Kerber start as top seeds in a sign of the changing of the guard in world tennis.
Serena Williams was gunning for her 23rd Grand Slam title at the US Open when she was cut down by 11th-ranked Karolina Pliskova in the semifinals.