Though this time, it will be as captains.
The 14-time major victor was officially unveiled on Wednesday as the American captain for next year's event at Royal Melbourne opposite worldwide skipper Ernie Els. "This is something I've always wanted to do, I've always wanted to be a captain, and I'm very fortunate to have been given this opportunity". "One, they're going to bring the world at large to the Presidents Cup as they have done every time that they're competing on a global stage", he said.
"It's obviously a great honor", Els said.
An eight-time victor of the Arnold Palmer Invitational, Woods has endured a number of lengthy lay-offs and four back surgeries, but now looks to be back to full fitness as he prepares for his fifth start of 2018.
While Els receiving the captaincy for the Internationals came as little surprise, Woods being named captain wasn't expected this soon.
Els has played in the tournament eight times between 1996 and 2013 while Woods is also an eight-time playing veteran after making his debut in 1998.
"It came about just through a group text with Davis, Freddie (Couples), Jim (Furyk) and Steve and who we thought might be the next captain and they said that you would probably be on the short list", Woods said. "I'm part of the team, and I think that that's going to be a big thing they would try and change".
"It's been a tough challenge but I'm starting to see the fruits of my labour".
Els will be hoping to get one over his old rival Woods, who admitted it has always been a dream of his to captain the team at the Presidents Cup.
"It was just a natural progression to one day become a captain", Woods said. Hale Irwin went 2-1 in a 20-12 victory in the inaugural Presidents Cup in 1994.
"It's going to be dependent on myself, my assistants and the players, if I happen to get to that point".
"So there's a process and an evolution to it and it's been quick, but still I have to say just enjoy all of this, because at one point, man, that wasn't even a thought".
Els, who played on the only victorious Internationals side at Royal Melbourne in 1998, called on fans to vocalise their support to give the Cup a much-needed boost in atmosphere.
The 2003 matches ended in a tie at 17 at Fancourt in South Africa, the home country of Els. Each player shall play a minimum of one match prior to the final-round singles matches.
Monahan announced two rules changes for the competition that will take place December 12-15, 2019.
For local reactions, and to celebrate the announcement PGA TOUR Vice President and Executive Director Presidents Cup, Matt Kamienski; Royal Melbourne Golf Club Captain, David Thomas; PGA of Australia Chief Executive Officer, Gavin Kirkman, along with media and other celebrity golfers will be playing at Royal Melbourne Golf Club, Cheltenham Rd, Black Rock from 1:30pm and are available for interview from 12:30pm.