Molinari played bogey-free for the second straight round at Augusta National and took advantage of the rain-softened course for a 6-under 66, giving The Open defending champion has a two-shot lead going into a Sunday like no other at the Masters.
Because of severe storms in the forecast, the final round will start off hours early, teeing off on both sides and with players in threesomes instead of pairs. Officials hope that speeds up the finish to early afternoon, ahead of the rain.
That puts Woods in the final group of a major for the first time since the 2009 PGA Championship at Hazeltine, where he gave up a two-shot lead on the final day to Y.E. Yang.
Woods made three straight birdies on the front and finished with three birdies over his last six holes for a 67, his best score at the Masters since the final round in 2011. Joining them will be Tony Finau, playing this year on two good ankles after a self-inflicted injury a year ago. He was part of a history-making Saturday as one of three players to shoot 64.
Molinari was at 13-under 203, two shots ahead of Woods and Finau.
Another shot behind was Brooks Koepka, who has won three of the past six majors and had a 69 despite four bogeys.
"I hit the ball a little less well than yesterday," Molinari said. "But I holed some really good putts at 4 and 5 to save par. I can only be happy about today. It will be an exciting day tomorrow."
Webb Simpson, who also shot 64, joined Ian Poulter (68) at 9-under 207, four shots behind and very much in the picture. The group another shot back included Dustin Johnson, who made birdies only on the par 5s and bogeyed his last hole for a 70.