Europe need just four points from Sunday's singles to retain the Ryder Cup after a convincing display in Saturday's foursomes.
Having seen their overnight advantage reduced to just one by the United States after Tom Watson's men had edged the morning fourballs, Europe hit back in style in the afternoon session.
They won three of the four matches at Gleneagles to claim a commanding 10-6 lead heading into the final day.
Justin Rose was once again the man of the moment for the Europeans. He sunk the decisive putt on the 18th in the only foursomes match to go the distance - denying rookies Jordan Spieth and Patrick Reed a fourth win after the US pair had seized the advantage at the 17th hole.
Rose and partner Martin Kaymer ultimately ensured that the US had only half a point to show for their afternoon's work, with Jamie Donaldson and Lee Westwood having got Europe under way with the first point of the second session following a 2 and 1 victory over Zach Johnson and Matt Kuchar.
Johnson's eagle putt at the 14th failed to inspire an American comeback, before Victor Dubuisson and Graeme McDowell capped off a convincing 5 and 4 victory against Rickie Fowler and Jimmy Walker.
Fowler and Walker had taken three half-points from as many outings prior to Saturday afternoon's action, but they were comfortably beaten on this occasion.
In the second match out, Rory McIlroy and Sergio Garcia finally found their form to wrap up their first win of the Ryder Cup so far, seeing off Jim Furyk and Hunter Mahan 3 and 2, as all eyes then turned to Spieth and Reed's titanic tussle with Rose and Kaymer.
The four had traded blows throughout an absorbing contest, with threes at the sixth and seventh holes putting the US two-up at one stage.
That was as much breathing space as either side was afforded, however, and Rose and Kaymer soon got the putter working to claw back the deficit, before blows were traded once again.
A decisive moment appeared to have arrived at the 17th when Spieth produced a touch of magic to put the US one up.
The young rookie fired his ball to within six feet after Rose and Kaymer had proved wayward, with Reed then rolling in the putt to guarantee at least a half.
When both Spieth and Rose found the greenside bunker on the 18th, it seemed likely the US would gain more, but while Reed was forced to come out sideways, Kaymer pitched out to within five feet.
Rose did the rest as Europe went into the final day with a 10-6 advantage - the same as the US held at Medinah two years ago.
Earlier on Saturday, the United States had closed the gap to just one point at 6 1/2 - 5 1/2 with a second fourball session victory of the Ryder Cup.
A fourball record 12-under from Rose and Stenson provided Europe's sole victory, as Furyk and Mahan swept to a 4 and 3 win against Jamie Donaldson and Lee Westwood before Spieth and Reed toppled Thomas Bjorn and Kaymer 5 and 3.
It could have been even better for the US had McIlroy and Ian Poulter not fought back to salvage half a point in the morning's final match.
They had trailed for much of the back nine against Walker and Fowler but Ryder Cup specialist Poulter made up for some questionable earlier form by chipping in at 15 and holing out under pressure at the 16th to secure a share of the spoils.