On Saturday, she drove Romania's world number one Simona Halep to distraction at Wimbledon, using her Pandora's box of drop shots, lobs, slices and wristy winners to claim a memorable 3-6, 6-4, 7-5 win on a mesmerised Court One to reach the last 16.
Bencic, a former world number 7, earned her victory after 85 minutes against the last remaining Spanish player in the tournament, one of only four Spaniards who made it to the third round this year.
Halep battled with her own game as well as the crafty spins and tactics of her 48th-ranked opponent but still looked like emerging as the victor when she led 5-2 in the third set.
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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.
His next round rival will be Jiri Vesely of Czech Republic. Two games down in the third set I kept fighting. It's going to start a week earlier than she wanted after she gave away a big lead, wasted a match point and lost at Wimbledon, joining the procession of top women on the way out.
Sasnovich will next meet No. 12 seed Jelena Ostapenko who stopped the Sharapova-killer Vitalia Diatchenko 6-0, 6-4.
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Victory would see him reach the last 16 of a major for the 44th time to take him second on the all-time list.
Meanwhile, world number twenty one Novak Djokovic also won his fourth-round clash by defeating world number seventeen Kyle Edmund 4-6, 6-3, 6-2, 6-4.
"It's a great day, it's been a great match for me", the victor said.
Daria Kasatkina (14), Russia, def. Ashleigh Barty (17), Australia, 7-5, 6-3.
Halep failed to carry on the momentum, and a huge forehand victor gave Hsieh the first break of the second set and a 2-1 lead. It's really tough to stay low, to play every ball, to expect actually nothing because you never know where the ball is bouncing and where is coming.
"I just came out with a very different mindset".
The world number 48 will face Slovakia's Dominika Cibulkova, a 6-2 6-2 victor over 15th seed Elise Mertens, in the fourth round.
"There's a shop in London very famous now, called Burger & Lobster", she said.