Geoff Ogilvy has won the last automatic spot in the International team for the Presidents Cup by finishing third at the
The 34-year-old Australian pipped compatriot John Senden after the latter needed victory to secure his place.
David Toms finished 10th to take the final spot in the United States team.
The ninth Presidents Cup - where the US meet a non-European International side in a Ryder Cup-style format - takes place in Melbourne in November.
Unless Vijay Singh of Fiji gets one of Greg Norman's captain's picks, Phil Mickelson will be the only player to have played in every Presidents Cup
Australians Jason Day and Adam Scott will join Ogilvy in the International team, captained by Greg Norman.
South Africans Charl Schwartzel, Retief Goosen and Ernie Els, South Koreans KJ Choi, Kim Kyung-tae and Yang Yong-Eun plus Japan's Ryo Ishikawa complete Norman's squad.
Senden could still get a spot if he is named as one of Norman's two captain's picks on 27 September.
The automatic qualifiers for the American line-up are Matt Kuchar, Steve Stricker, Dustin Johnson, Phil Mickelson, Webb Simpson, Nick Watney, Bubba Watson, Jim Furyk, Hunter Mahan and Toms.
US captain Fred Couples named Tiger Woods, who has not won a tournament since November 2009,
as the first of two captain's picks last month
, and though the 51-year-old has come in for criticism for the choice, Couples has stood by his decision.
"The majority of the people I talk to liked the pick and a handful don't," said Couples ahead of the four-day event at the Royal Melbourne Golf Club, which runs from
"Tiger was in the heat of battle in Augusta [and] almost won there.
"He has done everything I asked him to do and so I told him the reason I picked him early was there was some things I needed him to do.
"I talk to Tiger a lot and I know he is working hard I am counting on him to play well in Australia.
"We win by several guys playing well. We don't need everyone playing incredible golf."