Gonzalez, who is trying to follow in the footsteps of fellow Argentinian and 00 champion Eduardo Romero, shot 68 on Saturday to extend his total score to 13-under-par 200 through 54 holes.
The long-hitting 31-year-old is two strokes ahead of New Zealands Stephen Scahill (68), while Soren Hansen and Greg Owen each carded 68s on Day 3 to end tied for third at 10-under.
With five top-10 finishes on the season in Europe, yet no wins, Gonzalez was no doubt licking his chops after his round, and he said that the virtue of patience was his big benefactor on Saturday.
The key to my round was to be patient because the birdies wouldnt fall, but I knew they would come, he said.
They actually began right away, when Gonzalez came out of the blocks with a birdie at the par-5 1st, but he gave it back just as quickly at No. 4 with a bogey.
Two more birdies at the eighth and ninth offset the mistake, but Gonzalez again slipped at No. 10 following another bogey.
He got it back at No. 15, however, when after a solid drive, he managed to plunk his second shot on the green in two.
Lining up the 20-foot eagle attempt, he calmly stepped up and nailed it into the bottom of the jar.
The 15th hole is a difficult hole for me because I can shoot low scores, but I have to be able to hit a good drive on the fairway, which is not easy for me, said Gonzalez, who is not just searching for his first win of the year, but the first in Europe of his career.
If I do like I did today, it is any easy hole.
While Gonzalezs chances are still up in the air, one player who will not win this week is Danish star Thomas Bjorn.
Bjorn withdrew Saturday morning following a pain in his left shoulder which began on Friday.
With the Ryder Cup looming in just several weeks, great attention will be paid, as Bjorn is one of Europes top talents on the team.
He is scheduled to have the injury immediately analyzed in London.
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