Fleetwood, a match rookie, formed a dream team with Francesco Molinari as the pair scored Europe's only point in the fourballs before doubling their tally as the home team produced their first ever foursomes whitewash to give the home team a 5-3 overnight lead.
Golf Is A Mind Game created a tale-of-the-tape infographic breaking down each team's stats this season.
Their only problem? Spieth was draining big putts and letting the world now this point was going to Team USA.
Halfway through the third session, a repeat of Friday's 4-0 foursomes sweep by Europe looked possible before Jim Furyk's side joined the fight.
There was no let-up on Saturday, with Woods twice on the receiving end - losing 4 and 3 alongside Reed in the morning before partnering Bryson DeChambeau in a 5 and 4 defeat in the afternoon.
Rory McIlroy and Ian Poulter together on Ryder Cup weekend. The three-time major champion dragged Justin Thomas in his wake until the final few holes as they secured the only American point all morning, keeping the battling Ian Poulter and Jon Rahm at bay 2&1.
The bad news: With the USA entering Sunday down, 10-6, his singles match likely will be played in garbage time with the US already out of it.
"The Europeans played very good golf this afternoon on a hard setup and in hard conditions and we didn't play our best golf".
The Northern Irishman, who failed to card a single birdie alongside rookie Thorbjorn Olesen in Friday's 4 and 2 loss, reeled off four Saturday on the front nine at Le Golf National to seize control over Koepka and Finau.
The match was all square through the 10th before Spieth and Thomas exchanged birdies on the next two holes to move 2-up. While certainly not impossible to pull off such a comeback - it was done in 1999 by the Americans at Brookline, and again in 2012 by the Europeans at Medinah - the USA hasn't won the Ryder Cup on this side of the Atlantic in a quarter-century.
Nope, this 10-6 deficit heading into Sunday's 12 singles matches is on the collective group, and not just for their largely uninspired play.
"That was the plan through the whole week, we wanted to get everyone on the course today". It allowed him to maybe get some energy back, watch his teammates play a little bit, provide a spark as a veteran leader. The Americans lost the first three four-ball matches (eight in a row going back to Friday morning) and trailed 8-3 before a Jordan Spieth-Justin Thomas win made it 8-4 going to the afternoon session. Wish we could have done a better job, especially being two up.
'They got the points instead of us.
He's been part of only a single Ryder Cup-winning team over his career - 19 long years ago at Brookline.
"We were solid, and just started riding that wave again on the back nine when Fran started playing great", said US Open runner-up Fleetwood.