Song Yue played for the Jiangsu Suning youth team. Instead of immediately continuing with his football career, he continued his studies at Hohai University while still playing in the Chinese University Football League.[1] He also represented China in the 2015 Summer Universiade tournament.[2] While he completed his studies he played for amateur football club Suzhou Dongwu. They quickly went up the leagues and became a professional team once they won the Chinese Football Association Member Association Champions League (CMCL) division in 2015.[3] After a season of professional football, he returned to Hohai University, which had signed a cooperation deal with Nanjing Shaye to utilize their football squad and participate within the CMCL.[4]
Song returned to professional football with a move to third tier football club Nantong Zhiyun and gained promotion with the club at the end of the 2018 China League Two campaign.[5] The next year, he played a vital role in ensuring the club remained in the division and on 30 July 2020, Song transferred to top tier football club Tianjin TEDA for the start of the 2020 Chinese Super League campaign for a reported fee of 2 million Yuan.[6] He made his debut on 6 August 2020 in a league game against Beijing Sinobo Guoan F.C. that ended in a 3-1 defeat.[7]