As absurd as these rumors may be, one cannot help but deem them a testament to the wonderful chemistry that the two shared in their hit TV show and seeing them not together in real life is truly quite disappointing. People would rather indulge themselves in illusions created by the media than accept what may be the truth.
But as of late, things may have taken a turn for the rumor mill as it is now claimed that Song Joong Ki is actually gay and is only using Song Hye Kyo as a front to cover up his homosexuality. If you think the rumors couldn't get more absurd, it just did! According to SportsRageous, it was claimed that while "Descendants" were filming, Song Joong Ki engraved his best friend's name, Lee Kwang Soo, on a stone and that the actor himself preferred the company of men.
The actor's agency of course quickly dismissed those rumors saying how they were "actually laughing about it." Song Joong Ki points out that people should just focus on the way he acts and not who he wants to be with.
If there is one thing that may be a possibility, it is Descendants of the Sun 2. However, nothing has been confirmed as of late.