Roger Federer writes another all-time tennis record as he wins an eighth Wimbledon title on Sunday, dismantling occasionally tearful opponent Marin Cilic 6-3, 6-1, 6-4.
Williams, who is chasing a sixth trophy on the grass of the All England club, will face the world No. 15.
Roger Federer put on a classic display with a crushing 6-4, 6-2, 7-6 (7-4) defeat of Milos Raonic on Wednesday, as the Swiss icon's goal of an eighth Wimbledon title moves closer.
Dramatic three-sit win makes Konta the first British woman to reach the stage in the tournament since 1978.
The two, playing in different doubles teams, are the last Taiwanese players left in the tournament.
Nadal, a two-time champ, came back from two sets down but couldn't prevail in an epic struggle that took almost five hours.
Meanwhile, Novak Djokovic lived up to his second seeding as he mowed down Adam Pavlasek.
Federer, seeking an eighth title at the All England club, advanced 6-3, 3-0 when Alexandr Dolgopolov quit with a foot injury.
Roger Federer confirms his decision to skip the entire clay season this spring will have served him well in his quest for an eighth Wimbledon title.
Marin Cilic and Sam Querrey step closer to repeat titles in key Wimbledon warmup event.