Auger-Aliassime, who reached the fourth round both times he won his opening match previously, was intent his name would not be added to the list.
From 1-4 in the deciding set, the 25-year-old carved a path back and steadied to sneak the match tiebreak on back-to-back errors long from his opponent to keep his campaign alive and set a meeting with Argentine world No.68 Roman Burruchaga.
“You try to take your time, to breathe properly between points, but in the end, once the point starts, you play with your heart, with your gut,” he said.
“Of course, there can only be one winner and obviously I'm very happy that it's me today.
“I also have to give credit to Daniel, who played a great match today. We've always had some good battles, he and I.
“I think I was a different player after the third set. I took a little break in the locker room and I think I cleared my head and I think I came out with renewed energy.”