The ESP Couple (2008)

Su-min (Jin Goo) a college student who keeps his psychic powers a secret, living a quiet, lonely life. One day at an art gallery he is accosted by a strange girl called Hyun-jin (Park Bo-young) who insists on following him around. After an incident in the park involving an undercover police attempt to arrest a kidnapper gives her a display of his abilities, she attaches herself to him, determined to find out exactly what he is capable of. His feelings for her gradually change from annoyance to romantic yearning, though she herself appears to be hiding a secret of her own.