"Descendants of the Sun" star Song Hye Kyo and Song Joong Ki have once again found themselves in another rumor. If reports are to be believed, the on-screen couple is secretly engaged.

Song Hye-Kyo and Song Joong-Ki are rumored to have been dating each other since the beginning of the KBS 2TV hit-drama "Descendants of the Sun." According to Inquisitr, the two are just keeping the relationship under wraps, as it might obstruct their future projects.

The wedding rumors began after Inquisitr reportedly spotted Song Hye Kyo and Song Joong Ki in New York together. What's more, the "Innocent Man" actor's admission that he just dates women in secret apparently adds fuel to the flame.

"I do not wear hats when I go on dates to make people not suspicious and they will think we are just friends," Song Joong-Ki was quoted as saying during his interview on SBS's "One Night in TV Entertainment." "We also do not visit the city, we rather date in remote areas where there are elders."

Further, the "Full House" actress recent food truck gift to Song Joong-Ki sparked rumors of a brewing romance between the two. On Aug. 21, it was reported that Song Hye-Kyo had a coffee cart sent to the filming set of "Battleship Island," Soompi has learned.

The food truck was decked with a banner that read, "Cheers to Song Joong-Ki and the rest of the 'Battleship Island' crew." The upcoming historical drama stars Song Joong-Ki, Hwang Jung-Min, and So Ji-Sub.

"Actress Song Hye Kyo, an angel to the bone, called Coffee Pong for actor Song Joong Ki and the staff who are working hard," the caption reads. "Even today, many staff members we sweating like it was raining. We were also excited today thanks to actor Song Joong Ki who always comes over to greet us personally!"

Neither Song Joong-Ki nor Song Hye-Kyo commented on this issue. Stay tuned for more news and updates.