"I was just solid and was able to plot my way around," Uihlein said. "The wind was tricky sometimes, it would lay down then it would pick up, but it was always from the same direction so you could sort of get a beat on it."
Levet mixed seven birdies with three bogeys for his 67, while Bourdy had four birdies and a double bogey when he found the water at the short 13th.
"I played very solidly today," Levet said. "Even when I bogeyed, I was quite unlucky. It was a very good round."
The consistent Bourdy recovered well after his mishap at the 13th, picking up a shot on 16 and ending the day right in the mix.
"I am quite happy after the end because I had to fight to get pars on 17 and 18," he said.
A shot further back are Rafael Cabrera-Bello, Joost Luiten and Peter Hedblom.
Hedblom had the day's best round with a 66, mixing six birdies with a lone bogie at the 16th.
It was a bad day for European Ryder Cup captain Paul McGinley, who added a 77 to his opening 70-69 to fall from a share of fourth place down to a share of 42nd.