Wi was born in Seoul. He attended the University of California, Berkeley in the United States and had a successful amateur career.
Wi turned professional in 1995. He has played all over the world, competing on the European, Asian and Japanese tours. He played on the PGA Tour in 2005 after successfully navigating through all three stages of 2004 National Qualifying Tournament, but didn't do well enough to retain his card. In 2006, he was a member of the Nationwide Tour. The most notable win of his career came in February 2006, when he won the Maybank Malaysian Open, a co-sanctioned European Tour and Asian Tour event. He currently plays on the PGA Tour.

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