The duo could be set to stay in the Chinese Super League with Zhou Jun speaking highly of them and their contributions to the club
Shanghai Shenhua hope to agree contract extensions with Colombian stars Fredy Guarin and Giovanni Moreno.
Moreno has made 125 league appearance for Shanghai Shenhua since signing from Racing Club in 2012.
A future without Messi and Ronaldo
He was joined by fellow Colombia international Guarin in January 2016, the midfielder swapping Inter and Serie A for the Chinese Super League side.
"The two players are very popular and their contributions to the club have been displayed for all to see," said deputy general manager Zhou Jun.