Park appeared to have the advantage after hitting her approach to ten feet on the tenth hole on the Dinah Shore Tournament Course at Rancho Mirage in California, with Lindberg 25 feet away. Lindberg beat seven-time major champion Inbee Park at her own game - holing a massive putt.
Song departed after she could only manage par at Mission Hills Country Club, while Park and Lindberg birdied their holes.
Pernilla Lindberg lifted the ANA Inspiration on Monday after beating Inbee Park in a play-off that lasted eight holes.
Song's only previous top-10 result in a major tournament came a year ago when she claimed eighth place in the Evian Championship.
As the sun sets, Park and Lindberg both went par again to force a fifth playoff but because of darkness, this major is going to an extra day.
"I just know I'm a grinder, and I just felt: 'This is mine".
"I was just proving so many things to myself all week", she said. So I hit a 3-wood and made enough par saves to keep on playing. Both players reached the green for a chance at par and Park nailed hers to put the pressure on Lindberg.
Teeing off early Monday morning, the two remaining women fought through another thrilling four holes-each coming with opportunities for victory.
"I'm a little bit disappointed, but I'm really happy the way I played this week", Park said.
That meant Lindberg had to make her two foot putt to stay alive which she did easily.
Neither player could not muster a birdie in the first three holes of the day, before Lindberg finally settled it, the 31-year-old celebrating by jumping into Poppie's Pond.
"It's so cool", Lindberg said. A surprisingly tentative putt from Park left Lindberg with a 7-footer for birdie to win it outright. This one was not an easy major win for her, as well.
Park, world No. 9, started the final round four strokes behind Lindberg, the overnight leader. Her results this season before this: Missed the cut in Phoenix, tied for 22nd at Carlsbad. She made some magic with her putter Friday (a 67 to share the lead) and Saturday (a 70 for a 3-shot lead), and she hung in there Sunday through 18 regulation holes and four more in the playoff.
"One of my goals this year was to win an event, but I probably was more thinking, you know, a smaller, European Tour event, even winning a regular event out here", Lindberg said. For a tournament that felt flat at times over the weekend with sparse attendance, night golf and free tickets kicked up the atmosphere to the level the golf deserved.