"I'm very, very grateful and thankful about all this".
Play was halted with Novak about to serve while trailing 6-5 in the third set, and Raonic got off to a ideal start when they resumed Saturday by breaking to take that set.
The 21-year-old Swiss will face the victor of German 11th seed Angelique Kerber's match against Japanese 18th seed Naomi Osaka.
Bencic, who staged a strong return to competitive play at Wimbledon after being sidelined for several months due to injury, will next face off against former world No. 1 Angelique Kerber of Germany, now world number 10. "It is magical to play in front of the wonderful fans here".
Explosive Nick Kyrgios, fresh from a social media row with former women's champion Marion Bartoli after she accused him of squandering his talents, plays Japan's Kei Nishikori.
Hsieh will play the 2014 Australian Open runner-up Dominika Cibulkova on July 9 at 6.30 p.m. Taipei time, with the victor moving through to the quarter finals.
"This is the first time I have beaten the world number one, it is fantastic", the world number 48, who made her Wimbledon debut in 2006, said.
"This year I have tried to enjoy more, not just tennis but life, food, strawberries and cream, lobster", said the 2013 Wimbledon doubles champion.
"Okay, now I feel more relaxed", Hsieh said.
England aim to join France in World Cup final
"The Englishman says, "hey, we are playing Croatia tonight" and the Frenchman replies: "So are we - on Sunday". He's been showing season in, season out that he's one of the best strikers in the Premier League.
Hsieh's 3-6, 6-4, 7-5 win over Halep is her first over a No. 1 seed, but it isn't her first takedown of a top-10 favorite.
Defeat for the French Open champion means only one of the top 10 seeds in the women's singles have reached the last 16 - Czech seventh seed Karolina Pliskova.
Top-seeded Roger Federer and second-seeded Rafael Nadal remain alive on each side of the men's draw, but five of the top 10 seeds there have been eliminated.
Gulbis played superbly to beat the German 7-6, 4-6, 5-7, 6-3, 6-0.
"It was a positive match against a player who is young with a lot of energy out there", he said. "I was fighting until the end for every ball".
In that moment, Hsieh thought back to a fourth-round match against Lucie Safarova at Nottingham previous year, which she lost in a third-set tiebreak.
She had a match point when Hsieh served at 4-5 in the third set but was not adventurous enough on a second-serve return and paid the price as her opponent found the corner with a drilled backhand that was too good for the Romanian.
Big-hitting Canadian Milos Raonic, the 2016 finalist, reached the fourth round after beating Austrian Dennis Novak 7-6 (5) 4-6 7-5 6-2.
However, Djokovic eventually got the break he needed after a misfired half-volley from Edmund before clinching the match on serve with an ace after two hours and 54 minutes.