Europe cut USA's lead to just one point after winning Saturday's foursomes 2.5-1.5 in a thrilling morning session.
Rory McIlroy and Thomas Pieters, who won their Friday fourball encounter, were sent out first by captain Darren Clarke as they looked to get an early point on the board.
The European duo went up against Phil Mickelson and Rickie Fowler but the American pair were unable to cope with the high level of golf, going down 4&2.
In the second match, Henrik Stenson and Matthew Fitzpatrick, who was making his first Ryder Cup appearance, went head-to-head with Brandt Snedeker and Brooks Koepka.
The momentum was with the USA pair as they went ahead early on but the European duo managed to battle back, leaving the contest finely poised going into the final few holes.
However, some brilliant shots from Koepka, one of only two rookies in the hosts' team, and Snedeker ensured another point for the US, winning 3&2 in a highly competitive game.
Match three was a fantastic duel between Justin Rose and Chris Wood, who was also making his debut in the tournament, and the experienced pair of Zach Johnson and Jimmy Walker.
Europe had the advantage going into the final stretch, 3UP with five to play, but they were pegged back in the next couple of holes and they were only one ahead with just the 17th and 18th to play.
On the penultimate hole Rose played a nice tee shot into the heart of the par-three green to leave Wood with the chance to win the match, but it fell just short as they stayed one ahead with one to play.
Rose and Wood were able to hold their nerve coming down the last to win the contest 1UP, leaving the overall scores at 6-5 to the USA.
Huge drama came in the final foursomes, with Jordan Spieth and Patrick Reed looking on course for an easy victory over Sergio Garcia and Rafa Cabrera-Bello, having been 4UP with six to play.
However, the Spanish duo took advantage of some mistakes form their opponents and, by the time Cabrera-Bello popped in a birdie on the 17th, the match was level going down the 18th.
Neither could find the winning putt on the last and the tie was halved in what would have felt like a win for Europe after the terrific comeback.
Going into the foursomes, USA hold a slender one-point advantage, leading 6.5 to 5.5.
Foursomes line-up for Saturday's afternoon session:
Koepka/Dustin Johnson v McIlroy/Pieters
JB Holmes/Ryan Moore v Danny Willett/Lee Westwood
Mickelson/Matt Kuchar v Martin Kaymer/Garcia
Reed/Spieth v Rose/Stenson