A picture of Song and Kang was posted online last week by an unnamed Chinese tourist. While both were only showing their backs, many fans recognized them.
Their striped knitwear raised suspicions that they are taking a couple trip.
Their agencies, however, denied the rumors, claiming that both were working on photo shoots. Several staffers accompanied the two stars, they added.
Song and Kang have recently finished filming the movie “Dugeun Dugeun Nae Insaeng,” acting as a married couple. The film is expected to be released later this year.