Frenchman Ogier, who wrapped up the title in his home event three weeks ago, won all three of Friday's stages to move clear at the head of the field.
But his luck ran out as the front left wheel on his Volkswagen Polo R suffered a puncture on stage six, and Ogier finished the day in fourth place, 46.5 seconds off the pace as the rally moves from asphalt to gravel.
Latvala jostled at the top of the leaderboard with Dani Sordo, who finished 1.6 seconds back following stage nine - the last of the day - and with the possible advantage of having the road cleared for him by his rival when the rally resumes early in the morning and the drivers set off at three-minute intervals.
Spaniard Sordo was the first driver to put pressure on overnight front-runner Ogier, before a cat-and-mouse battle developed with Latvala's Volkswagen.
Latvala told official race website wrc.com: "Going from asphalt to gravel after two days won't be easy.
"It's a new challenge but I have a good feeling. I hope the weather will give me some support. A little bit of moisture to dampen the loose gravel would be nice."
Between Sordo's Citroen and Ogier's Volkswagen lurks Belgium's Thierry Neuville in his Ford Fiesta RS.
Ogier may still be a threat himself over the closing six stages, and he said: "I don't know what's possible. There's 140km to go and I'm starting fourth on the road. We'll push and see what we can do."