According to the recent rumors, Song Joong Ji and Song Hye Kyo have been in a secret relationship and are already exchanging small gifts secretly. Sources also claim that the two stars have never once stopped being touch, long after the show has ended.

In fact, news reports indicate that Song Hye Kyo gifted Song Joong Ki with a coffee truck at the sets of "Battleship Island." The former co-star of Joong Ki reportedly got in touch with the Coffee Pong Company to offer coffee to the actor as well as the crew of his upcoming film.

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

The followers of "Descendants of the Sun" actor also recall spotting Song Joong Ki at the Hermes store, looking at a bag. This sighting sparked rumors that the actor must be looking for a bag for his lady love, Hye Kyo.

Despite all the speculations, the stars never openly admitted to dating each other officially, even though most of the fans believe that they are already in a relationship.

Meanwhile, according to previous reports, Song Hye Kyo and Song Joong Ki were also spotted in New York City, walking down the Big Apple street. While these reports may be true, the actors never confirmed anything about their rumored relationship.