The International team closed the gap on the United States at the Presidents Cup but are still 11-7 behind going into the final day.
The foursomes on Saturday were drawn 2-2 before the International team fought back to win the fourballs 3-1.
Sungjae Im and Sebastian Munoz, Si Woo Kim and Tom Kim as well as Adam Scott and Cam Davis each won their fourballs for the International team.
The winning target is 15½ points, with 12 singles on Sunday.
The event is taking place at Quail Hollow in North Carolina. It is the 14th staging of the biennial Ryder Cup-style match, and the US lead 11-1 overall with one match tied.
In the fourballs, US pair Jordan Spieth and Justin Thomas moved the hosts 11-4 up after winning 4&3 against Japan’s Hideki Matsuyama and Canada’s Taylor Pendrith.
A 3&2 victory for South Korea’s Sungjae Im and Colombia’s Munoz against Tony Finau and Kevin Kisner reduced the deficit.
South Korea’s Tom Kim, playing with compatriot Si Woo Kim, then dramatically holed a putt on the 18th to earn a narrow win against Patrick Cantlay and Xander Schauffele.
Cam Davis also holed a putt on the 18th to secure a point for the International team alongside fellow Australian Adam Scott as they beat Billy Horschel and Sam Burns to leave their side four points behind.
Earlier on, Spieth and Thomas, who have proved a formidable pairing, were in dominant form again in the alternate shot foursomes against Im and Canadian Corey Conners, winning 4&3.
Scott and Matsuyama lost two of the first five holes against Cameron Young and Collin Morikawa to par but won five successive holes from the ninth to move into a three-hole lead that they would not relinquish.
In the bottom match, Americans Finau and Max Homa were never behind against Si Woo Kim and Davis as they strolled to a 4&3 victory.
But KH Lee and Tom Kim came through a tough match with world number one Scottie Scheffler and Burns. There was never more than a hole between the players until Tom Kim holed a five-foot par putt to claim the 16th and move two ahead with two to play, and they wrapped up a 2&1 win on the 17th.
Both teams have lost players to the controversial LIV Golf circuit, with the International side arguably feeling the pain more. Open champion and world number three Cameron Smith, Chile’s Joaquin Niemann, Mexico’s Abraham Ancer, South Africa’s Louis Oosthuizen and Australia’s Marc Leishman are all missing.
The quintet are banned from playing, having opted to join Greg Norman’s Saudi Arabian-funded start-up, which has held five of its scheduled eight invitational events so far in 2022.
Captain Trevor Immelman has been forced to name eight debutants in his 12-strong International team.
The Americans are without Dustin Johnson, who won all five of his matches in last year’s record-breaking Ryder Cup victory over Europe at Whistling Straits.
Bryson DeChambeau and Brooks Koepka are other major winners who have left the PGA Tour to join LIV, but the US Presidents Cup side still contains 10 of the world’s top 16 players.
