Now, they'll meet again in 2019 as captains for the matches in Melbourne, Australia, according to an Associated Press report.
I've played in the Presidents Cup eight times and I had a chance to serve as vice captain previous year.
The duo famously dueled at the 2003 event in South Africa in a playoff, tying for three holes before darkness intervened and the match was called, with both teams agreeing to share the cup.
The Presidents Cup-Ryder Cup captaincy crossover hasn't always been the norm (Fred Couples has captained three Presidents Cups but no Ryder Cups), but the template for worldwide golf has changed.
"Ernie carries the flag for worldwide golf as a legendary figure both on and off the golf course, while Tiger has been one of the most transcendent athletes the sport has ever seen".
Parliament: Lok Sabha, Rajya Sabha proceedings stalled again, protests continue
The unabated protests had forced the adjournment of the House till 2 pm, about 15 minutes after it had assembled. Congress members were holding placards demanding that tainted diamond merchant Nirav Modi be brought back.
The pair is expected to be announced as captains Tuesday at the Arnold Palmer Invitational.
Woods has been named by Jim Furyk as a 2018 USA Ryder Cup vice-captain along with Stricker and Davis Love 111.
He said: "I've played in the Presidents Cup for many years". Els has been runner-up to Woods seven times, more than any other player.
"After working as a captain's assistant for Steve in 2017, I realized that I wanted to captain the 2019 event at Royal Melbourne", said Woods.
Woods was an assistant captain on last year's American team that won in blowout fashion. He could potentially be a playing captain given how well he's hitting it right now and the fact that he's finished in the top 15 in each of his last two PGA Tour starts. The U.S. won the 2017 match 19-11, its seventh consecutive win. Additionally, the top eight players for the worldwide and U.S. Team standings will officially qualify following the completion of the 2019 PGA TOUR Championship.