She started playing violin at the age of two, and gave her first public performance at five at the Victoria Concert Hall. She went to the United States at the age of nine to study music at the University of Michigan and later at Oberlin College's Conservatory of Music. At the age of 14, Min she was accepted to the Masters program at Yale University. She was tutored by the late, eminent violinist Erick Friedman. Erick himself was a protégé of Jascha Heifetz and Nathan Milstein.
Lee has performed with renowned orchestras including Prague Chamber Orchestra, Singapore Symphony Orchestra, Royal Philharmonic Orchestra, Vienna Chamber Orchestra, Academy of St Martin in the Fields, Tchaikovsky Symphony Orchestra and Russian National Orchastra.
She recorded an album Debut with the Royal Philharmonic Orchestra.
She was given the Singapore Youth Award in 2004.