Wall and Wood saw off Miguel Angel Jimenez and Soren Kjeldsen
Britain and Ireland increased their advantage over Continental Europe to 6-4 on day two of the Vivendi Trophy.
Simon Dyson and Oliver Wilson won 2&1 and Nick Dougherty and Ross Fisher won 3&2 in the opening matches to extend the overnight 3-2 advantage.
Anders Hansen and Francesco Molinari triumphed 3&1 to get Europe off the mark on Friday before Anthony Wall and Chris Wood won 3&2 for GB & Ireland.
Gonzalo Fernandez-Castano and Robert Karlsson won on the 18th for Europe.
Spaniard Fernandez-Castano kept his cool to sink a short putt at the par-three last to earn a slender victory over Robert Rock and Steve Webster.
Dyson and Wilson were in scintillating form in their win against Henrik Stenson and Alvaro Quiros. A birdie two on the last would have given the English pair a 12-under 59 - and their opponents were nine-under when it finished.
On Wednesday, Dyson was even a doubt for the match after contracting food poisoning, but he has been one of the stars of the show so far.
"I was on death's door," said the Yorkshireman. "I was not 100% on Thursday but today was good and we are gelling fantastically well.
"[Captain] Paul McGinley asked who was my ideal partner and I said Ollie straightaway."
McGinley remained in cautious mood despite his team's advantage and said: "We are underdogs and we know that we have to play incredibly well to win the trophy.
"Today we knew that we had to play the same quality of golf that we did the first day and fortunately that's what we did."
Counterpart Thomas Bjorn said: "It was a bit like Thursday, the match that we needed came through in the end.
"But unlike then, I feel encouraged by the signs I saw out there. We obviously are not happy by trailing but we don't feel like we are out of it, that's for sure."
On Saturday the players play greensomes (when partners both drive on each hole, but then choose one ball) and foursomes, followed by 10 singles matches on Sunday.
Britain and Ireland have beaten Continental Europe four times in a row in the biennial tournament, formerly called the Seve Trophy, which works on similar matchplay lines to the Ryder Cup.
Scores from Friday's fourballs (GB & Ire team first):
Dyson & Wilson bt Stenson & Quiros 2&1
Dougherty & Fisher bt Hanson & Soren Hansen 3&2
McDowell & McIlroy lost to Anders Hansen & Molinari 3&1
Wall & Wood bt Angel Jimenez & Kjeldsen 3&2
Rock & Webster lost to Fernandez-Castano & Karlsson 1 up
Saturday Greensomes (GB & Ire team first):
McIlroy & McDowell v Stenson & Hanson 0735 BST
Rock & Dougherty v Karlsson & Fernandez-Castano 0750 BST
Fisher & Wood v A Hansen & Molinari 0805 BST
Dyson & Wilson v Jimenez & Quiros 0820 BST