Lee Min Ho and Suzy Bae are known to be one of the most private couples in the Korean entertainment industry but rumors continue to persist that their relationship has been on the rocks for some time because of jealousy. While before, reports indicated that Suzy Bae was jealous of Park Shin Hye's potential casting in a City Hunter sequel, now, it seems that Descendants of the Sun actress Song Hye Kyo has been thrown in the mix after she was reportedly being considered for a role in the second season of "The Heirs."

According to a report by Korea Portal, Lee Min Ho and Suzy Bae were at odds over the news especially since the Legend of the Blue Sea actor was quoted as saying that he would love to work with Song Hye Kyo. Lee Min Ho reportedly said that he would like to act with Song Hye Kyo because he could learn a lot from her but admitted that he might be nervous most of the time because of the veteran actress.

While Lee Min Ho and Suzy Bae have not addressed rumors about their relationship, the couple seems to be taking the news in stride. It was recently reported that the couple celebrated their second anniversary with a dinner party for their close friends. In a statement, Suzy Bae's label JYP Entertainment refused to disclose private information and said that they respect the privacy of their artists. They asked the public to do the same. reported Kpopstarz.

In a recent interview with Lee Min Ho, the actor seemed to be completely secure and happy with his relationship with Suzy Bae and described his ideal of a perfect love. "The kind of love that one can create positive energy toward each other's work or every part of life through the stability that love gives," he said.

Meanwhile, wedding news may need to take a back seat for the meantime as Lee Min Ho is set to enlist for mandatory service starting May 12. Suzy Bae's boyfriend will be assigned as a social worker in Gangnam instead of reporting for military training owing to injuries he sustained in a car accident in 2006.