Europe shaded the morning foursomes 2½-1½ to open up a two-point lead at the tournament in France but GB&I hit back to win the second session 3-1, leaving the teams level on nine points apiece ahead of today's singles matches.
Paul Lawrie and Stephen Gallacher halved yesterday's opening match with Nicolas Colsaerts and Gonzalo Fernandez- Castano, and Chris Wood and Scott Jamieson added a 2&1 win over Thorbjorn Olesen and Francesco Molinari.
In an afternoon rematch Lawrie and Gallacher raced to 3-up after five holes and 4-up through 11 against the same opponents before claiming a 2&1 victory.
Marc Warren and Jamie Donaldson combined to beat Thomas Bjorn and Mikko Illonen by the same margin, and Paul Casey and David Lynn defeated Miguel Angel Jimenez and Matteo Manassero by one hole. Wood and Jamieson lost to Joost Luiten and Gregory Bourdy by two holes.
"It was just fantastic," captain Torrance said of the afternoon comeback. "Stevie and Paul knocked over Europe's key two in Nicolas and 'Gonzo' in the very first match as that was the key. They went straight out after halving their morning match with them and went 3-up after five, so that was marvellous.
"Nicolas and Gonzo pegged it back a bit, but Stevie played such an incredible second shot on 17. I am delighted with them and that's why you put your best groups out first."
Torrance, without his six leading qualifiers who have snubbed the event, is looking to deliver GB&I's seventh straight success. "The spirit among the team is fantastic and that's just helping so much," he said. "The great thing is we're not behind going into the singles as we were behind at the end of the three opening rounds, and it's all to play for."
Should the scores be tied at the end of this afternoon, Torrance and rival captain Jose Maria Olazabal would each pick two players for a sudden-death foursomes encounter.
"I just hope it isn't five-all tomorrow," Torrance said. "It could easily finish 14-14. Maybe I should play Olly [Olazabal] at snooker instead."
A back problem sidelined Simon Khan yesterday but he will face Francesco Molinari in today's final singles encounter.
In the Presidents Cup, the United States of America held on to their one-point lead on day three, following the completion of the foursomes matches at Muirfield Village in Ohio.
Four of the six matches were carried over from Friday due to a long rain delay. The home side and the International team won two apiece to leave the score at 6½-5½ to the USA.
Steve Stricker and Jordan Spieth extended the hosts' lead with a 2&1 win over Branden Grace and Richard Sterne. Angel Cabrera and Marc Leishman responded straight away for the International team with a 2&1 success over Webb Simpson and Brandt Snedeker.
Tiger Woods and Matt Kuchar beat Louis Oosthuizen and Charl Schwartzel 4&2 to give the Americans a two-point cushion again, but that was reduced to one when Hideki Matsuyama and Adam Scott beat Jason Dufner and Zach Johnson 2&1.
The USA had seized early control of the fourball matches when torrential rain forced play to be suspended.