The only female in the field, the 14-year-old Wie finished two strokes behind winners David Bradshaw and Alex Knoll.
Had she been victorious, Wie would have been invited to the Minnesota event in July as one of two southeastern Pennsylvania representatives.
The top 64 players from the Publinx will qualify for a match-play tournament and would have to win six matches to make it to the Masters. Wie has said that winning the July match-play tournament would have been her best hope of getting to Augusta.
Wie will be one of four alternates for the July Publinx tournament should Bradshaw or Knoll be unable to participate.
The Hawaiian ninth-grader will now shift her focus to the U.S. Women's Open, held July 1-4 in Massachusetts.
Wie finished the morning round tied for fourth at one-under 71 and shot another 71 in the afternoon session to finish tied for third at 142.
She missed two six-foot birdie attempts on the fifth and sixth holes in the afternoon. She birdied the seventh from 4 feet, but failed to convert birdie putts on the eighth and ninth holes.
In 2003, she became the youngest player to win an adult USGA championship at age 13, winning the U.S. Women's Amateur Public Links.
She missed the cut by one shot at the PGA Tour's Sony Open in January after a second-round 68.
She has finished in the top 20 in three LPGA events this year.
Copyright 2003 Associated Press. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.