The South African will play Accenture Match Play champion Stenson in the second semi-final.
His players take on those from Woods' foundation in an annual Ryder Cup-style match play competition.
England's Ian Poulter, the 2010 Match Play winner, set up a clash with 2001 champion Steve Stricker.
McGinley, runner-up to Kiwi Michael Campbell in last week's World Match Play, was two down with five to play.
Now I'm off to Tucson for the Chrysler while the top 64 are playing the Accenture Match Play in California.
Meanwhile, Matt Kuchar beat fellow American Hunter Mahan to clinch his first title of 2013 at the match play event.
Arriving within five minutes results in the loss of the first hole in match play or two strokes at the first hole in stroke play.
From his first U.S. amateur title in 1994 to last weekend's Match Play win, the superlatives about Tiger Woods continue to mount and mount.
Most of the golf he plays is in a club tournament setting, which means a match play format, the mano a mano of golf.
Els has won seven World Match Play titles on the course but has had to settle for three runners-up finishes in the PGA Championship.
He already missed the Match Play Championship and was ready to miss another WGC next week at Doral until putting together four solid rounds.
Kuchar is in form after finishing second at last week's Crowne Plaza Invitational, while he won the World Golf Championships-Accenture Match Play Championship in February.
He lost in the first round of the Match Play last year, his first appearance since 2005 when it was still held in Carlsbad, California.
Mahan, who made six birdies in the final, is the first American to win the Match Play crown at Dove Mountain since Tiger Woods in 2008.
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Casey has four top-10 finishes to his name this season and was runner-up to Ian Poulter in the World Golf Championship Match Play event in February.
Rose's only previous appearance in the Match Play saw him lose in the first round to Vijay Singh, but he is confident of progressing further this week.
He is a top seed in the Match Play, but does anyone think he is really one of the top four golfers in the world right now?
Jacobson would have to finish alone in 19th place or better to avoid facing Tiger Woods in the opening round of the Match Play Championship next week.
For the first two days, each captain divides his teams into pairs which compete in a variety of 18-hole match play competitions known as fourballs and foursomes.
Compatriot Colin Montgomerie won the Accenture world match play title before it came an official World Golf Championships event and took the individual title at the 1997 World Cup.
In the 193 matches played by 470 children in Scotland between January to April last year, the injury incidence during the match play was 10.8 injuries per 1, 000 player hours.
And while Casey has reached the last two finals of the World Match Play in Arizona, Harrington has lost in the first round to Pat Perez and Jeev Milkha Singh.
After finishing tied third in the 2001 Open Championship, he became the oldest winner of the 2001 Cisco World Match Play Championship at Wentworth, beating Padraig Harrington in an epic final.
His only victory this season came in the WGC-Accenture Match Play Championship and he has had seven other top-five finishes but he has not won a major since the 2002 US Open.
Although reaction to Woods' statement has been largely positive, Faldo said the timing of it had overshadowed this week's WGC-Accenture Match Play in Arizona, which began on Wednesday and continues to Sunday.
World Match Play in the past 12 months.
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Paul Casey, still battling the rib injury which sidelined him for three months, Volvo World Match Play Championship winner Ross Fisher and Martin Kaymer, who is still struggling with a foot injury, sit on four-under.
Fisher, who lost to Paul Casey in the semifinals of the Accenture World Match Play in Arizona in February, had a nervy finish after seeming to be home and hosed at two-up after 28 holes.
Having won the Volvo Masters and reached the final of the World Match Play since the qualifying period began, McGinley has every chance of becoming one of the first names to book an automatic spot.
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