Day (right) and the American captain Woods are on both sides in the Presidential Cup
International team captain Ernie Els has named the Australian Jason Day as one of his four wildcard picks for next month's Presidential Cup in Melbourne.
Els also chose Adam Hadwin, Sungjae Im and Joaquin Niemann in his 12-person team to face the United States.
"I want to thank Ernie for trusting me and I look forward to catching up with the team," Day said.
The American Captain Tiger Woods is expected to select himself when he announces his wildcard picks on Friday.
The Presidential Cup takes place from December 12-15 and the international team is the youngest ever with the average age of the 12 players just above 29.
Niemann will be the first player from Chile are participating in the biennial tournament, which follows the same format as the Ryder Cup, and received the news on his 21st birthday.
"This is really great for my country and South America," Niemann said.
"Golf is growing a lot in Chile and this is going to help those children who grow up and start playing the game."
The 21-year-old South Korean Im, who was named PGA Tour rookie of the year for the 2018-19 season, will also make his league debut.
The Canadian Hadwin will make his second appearance after being on the losing side in 2017.
Full international team: Marc Leishman, Hideki Matsuyama, Louis Oosthuizen, Adam Scott, Abraham Ancer, Li Haotong, Pan Cheng-tsung, Cameron Smith, Jason Day, Adam Hadwin, Sungjae Im and Joaquin Niemann
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