Fosun, which owns Championship club Wolverhampton Wanderers, wants to invest in German football.
Jorg Wacker, Bayern's director for internationalisation, said the Bavarians "have a broad fan base in China with more than 136 million followers."
RB Leipzig forward Werner has been linked with a move to Anfield after an impressive season.
Dortmund are ranked seventh in the UEFA club coefficient rankings, while Liverpool are in 34th.
Douglas Costa could miss Bayern Munich's Champions League quarterfinal with Real Madrid with a knee injury, according to a Sport1 report.
Hoffenheim coach Julian Nagelsmann, the youngest manager in the Bundesliga, has received the Trainerpreis des deutschen Fussballs 2016.