During a broadcast of SBS' "Healing Camp," Gary provided a heartfelt explanation as to why he and Song have never dated in real-life.

While dating rumors involving the "Monday Couple" or Spart Ace" have never been confirmed, Song recently ended her public relationship with the CEO of C-Je S Entertainment.

In February 2012, the variety star confirmed her relationship with the C-Je S executive, after the pair was outed by an investigative report published by Dispatch.

Song later announced her breakup with the agency and its CEO, in July 2015.

Uhm Ji-won made her acting debut in the late 1990s, and after an early role in the Korean tokusatsu series Vectorman, went on to appear in a number of films and television drama series.

In 2004, she appeared alongside Han Suk-kyu and Lee Eun-ju in The Scarlet Letter, receiving a nomination for Best Supporting Actress at the Blue Dragon Film Awards.

Uhm starred alongside Yoo Ji-tae and Kim Ji-soo in the 2006 film Traces of Love, portraying a survivor of the 1995 Sampoong Department Store collapse who still suffers from psychological trauma years later.

She prepared for the role by studying news and documentaries of the event, as well as reading through various psychology texts.

The latest claim to circle the internet involved the actress and Kim Jong Kook, who are popularly referred to by the on-screen couple name, Spart Ace.

According to an article published by TV Report on February 6, Song and the former Turbo member were the subjects of an unfounded blog post that proclaimed their upcoming marriage.

A blog post titled, "Running Man's Kim Jong Kook and Song Ji Hyo in Love, Marriage, They Should Be Congratulated" went viral after it was published, but was unsubstantiated by representatives for both stars.

Both Song and Gary have repeatedly denied the claims, with the Lee Sang rapper providing a concise statement about their relationship in August 2015, following photos that depicted them holding hands in a Chinese airport.