Upson joins Drogba on Shanghai wish-list
Shenhua official Ma Yue told Reuters on Tuesday that the Super League side were in talks with former England defender Upson but declined to give a timeline for the negotiations with the 32-year-old centre-back.
Shenhua have already turned heads in recent months after signing former France striker Anelka and appointing his compatriot Jean Tigana as coach.
The club have also been strongly linked with Ivory Coast striker Drogba and Ma again refused to rule out the signing.
Asked about both Drogba, 33, and Upson joining, Ma said: "There is nothing confirmed. We are still in the midst of discussions."
Drogba's contract with Chelsea expires at the end of June.