Song Joong Ki Song Hye Kyo
Song Joong Ki and Song Hye Kyo shot to fame after starring together in Descendants of the Sun Facebook

Fans of Song Joong Ki and Song Hye Kyo are hoping that they are dating secretly and the 31-year-old actor is going to propose the actress on her birthday. The Descendants of the Sun actress will celebrate her 35th birthday on 22 November.

In the hit drama, Joong Ki played the lead role as Captain Yoo Shi Jin, and Hye Kyo reprised the role of a doctor named Kang Mo-Yeon. Rumours that they are dating started in March after the two were reportedly seen together in New York. However, Joong-ki's agency confirmed that the couple are not an item in real life.

The statement from UAA Korea read: "Song Joong-ki is her good colleague with whom she's done a TV series together."

"She was on vacation in New York and Song Joong Ki happened to be there. They had a meal with other friends, and we cannot believe it has turned into a scandal. There is no need for us to consider it seriously. We will take it as a sign of fans' interests. That story has been going around for a long time now. Media outlets have asked us about it and we have told them many times that it is not true," the letter read.

Meanwhile, at the 11th Seoul International Drama Awards held on 8 September, Joong Ki revealed Hye Kyo sent a coffee truck to the set of his upcoming movie, Battleship Island. He said: "She not only sent a coffee truck, she sent a snack truck too. She's the best partner."

Previously, Hye Kyo admitted she enjoyed filming alongside Joong Ki and called him the "perfect male lead."

"When I read the script for 'Descendants,' I thought that the male lead would have to do a really good job for the drama to succeed," she said at a press conference in April.

"Song Joong-ki did such a good job at achieving that difficult task, and made (the character Yoo Shi-jin) charming. I would sometimes get jittery acting alongside him. I've been in the industry for quite a while now, and I see a lot of junior actors who aren't like him. (Song) works hard at whatever he does, even with all his fame. ... He did everything a male lead should do perfectly. He is a great guy," she added.

A gift for those who have waited so patiently 기다리고 기다리시던!!✌?️

A photo posted by Hyekyo Song huiqiao (@kyo1122) on Apr 5, 2016 at 5:12am PDT

유대위님 인스타 안하는관계로 ...제가 ..폭풍 ..업데이트.

A photo posted by Hyekyo Song huiqiao (@kyo1122) on Apr 5, 2016 at 5:13am PDT

전우애 ! 의리 !!

A photo posted by Hyekyo Song huiqiao (@kyo1122) on Apr 5, 2016 at 5:15am PDT

? @lim_hyoseon

A photo posted by Hyekyo Song huiqiao (@kyo1122) on Apr 13, 2016 at 6:19pm PDT

유시진씨 팬미팅 ?? #태양의후예 #유시진 #강모연 #songsongcouple

A photo posted by Hyekyo Song huiqiao (@kyo1122) on Jun 17, 2016 at 9:21am PDT