Did song seung heon and kim tae hee are having a relationship?

As of my last update in October 2023, Song Seung-heon and Kim Tae-hee are not publicly known to be in a relationship. Kim Tae-hee is married to singer Rain (Jung Ji-hoon), and they have two children together. Song Seung-heon has also kept his personal relationships private, but no confirmed relationship with Kim Tae-hee has been reported.