The USA trail the Internationals 6.5-3.5 heading into the third day at Royal Melbourne Golf Club.
Woods and Thomas have collected two of the USA’s points, but the 15-time major champion will not be in action in Saturday’s early matches.
Thomas will play with Fowler against Marc Leishman and Li Haotong, who is featuring for the first time in Melbourne.
Patrick Cantlay and Xander Schauffele will team up for the third straight day after a win and a loss to start the Presidents Cup, facing Im Sung-jae and Abraham Ancer.
Despite two losses, Woods is sticking with Patrick Reed and Webb Simpson, who will take on Hideki Matsuyama and C.T. Pan again in the four-ball format. The International duo won Thursday’s contest 1 up.
The final four-ball match on Saturday will see Adam Scott and Byeong Hun An, winners on Thursday, face Matt Kuchar and Tony Finau.
Following two straight losses, USA star Dustin Johnson will miss the four-ball matches.
Saturday’s four-ball matches (Internationals vs. USA)
Li Haotong-Marc Leishman vs. Rickie Fowler-Justin Thomas Abraham Ancer-Im Sung-jae vs. Patrick Cantlay-Xander Schauffele C.T. Pan-Hideki Matsuyama vs. Webb Simpson-Patrick Reed Byeong Hun An-Adam Scott vs. Tony Finau-Matt Kuchar