Breath
숨 (original)
A condemned prisoner slowly falls in love with the married female artist who decorates his prison cell. Jin is a convicted killer awaiting execution on Death Row; Yeon is a lonely artist locked in a loveless marriage.
Starring Chang Chen, Ha Jung-woo, Park Ji-a, Kang In-Hyung, Kim Ki-duk
Watch "Breath" on Kanopy released in 2007. It's a crime and drama movie, and has a rating of 6.9 out of 10 from Imdb which is usually fine for this kind of movie.