Wiesberger was bogey-free through Thursday's play while Gonzalez combined seven birdies, an eagle and two bogeys for his 65.
Wiesberger starting at the 11th hole of the Gleneagles Hotel course, opened with a birdie. He added others at the 14th and 17th holes. A birdie at the third hole got him to 4-under and he closed with three consecutive birdies.
Gonzalez, also starting on 11, had a bogey at his first hole of the tournament but he had five birdies over the next seven holes. After a bogey at the par-4 first, he dropped in a 10-foot putt for eagle at the 516-yard, par-5 second hole. He also had birdies at Nos. 5 and 8.
The official name of the tournament is the Johnnie Walker Championship at Gleneagles.