The visitors got off to a shocking start when Ji Xiang put Jiangsu ahead inside a minute but hit back to earn a share of the spoils through Ning Jiang four minutes after half-time.
Beijing Guoan consolidated third spot with an impressive 2-0 win at Qingdao Zhongneng.
Brazilian Davi grabbed the opener after four minutes and Changqing Wang added a second 22 minutes later.
Fourth-placed Guizhou Renhe could only manage a 1-1 draw at Hangzhou Greentown.
Dino Djulbic put Guizhou ahead in the first half but the hosts equalised three minutes later through Renatinho.
Shanghai Shenhua's dismal form continued as they lost 3-1 at home to Changchun Yatai.
Liu Weidong grabbed a double for the visitors, for whom Junior also netted a penalty.
Australian Joel Griffiths scored Shenhua's sole reply.
Anselmo also netted a brace in Shanxi Zhongxin's 4-1 victory at Dalian Shide.
His double was sandwiched by goals from Wang Yun and Antonio Flavio.
Adriano had earlier opened the scoring for Dalian, who remain third bottom.
A late Gao Do goal gave Shandong Luneng a 1-1 draw against Liaoning, who had gone ahead through Zhang Ye, while Tianjin Taida and rock-bottom Henan Jianye also finished in a stalemate.
Lucian Goian put Tianjin ahead only for Zhi Xiao to level in the final minute.