Nadal and Raonic faced each other in the Brisbane International quarter-finals which the latter won.
The 17-time grand slam champion reaches last four for 41st time after Mischa Zverev win.
Federer has been installed as one of the favourites for the Australian Open title.
Konta faces tough test as she seeks to become Britain's first female Grand Slam singles champion since 1977.
Nadal wins 6-3, 6-3, 4-6, 6-4 after a stumbling Raonic eliminates Roberto Bautista Agut.
Konta is facing Williams for the first time.
Nadal holds a 12-2 win-loss record over Monfils going into their fourth round clash.
Evans recorded his best result in a Grand Slam event by making it to the fourth round.
Defending women's champion Angelique Kerber also falls to Coco Vandeweghe on eventful day seven.
Federer has won the last 3 meetings against his fourth round opponent Nishikori.
Andy Murray is a five-time beaten finalist at the Australian Open.
Konta could face Serena Williams in the quarter-finals if both win their fourth round matches.
World number 24 Zverev is the youngest player in the ATP top 50 at the moment.
The 26-year-old has already eliminated Marin Cilic before today's triumph.
Murray will face Germany's Mischa Zverev in the fourth round.
Denis Istomin knocked the Serbian out of the Australian Open in the second round in Melbourne.
Third seed Radwanska stunned by 34-year-old Mirjana Lucic-Baroni.
The Uzbek sent six-time Australian Open champion out in thrilling five-set victory
Murray's main rival for the Australian Open title Novak Djokovic was knocked out in the second round.
The defending champion will head home early after 6-7 7-5 6-2 6-7 4-6 defeat.
Konta will face former world number one Caroline Wozniacki in the third round.
Nick Kyrgios exits Australian Open in the second round after blowing two-set lead over Andreas Seppi.