Adriano cause controversy on Friday when he arrived late for training, left early and threatened a cameraman.
"We're going to analyse the facts, to decide whether or not there will be a fine," Sao Paulo general manager Marco Aurelio Cunha told reporters.
"The important thing here is that there is a healthy atmosphere. People have to be happy here and if they are not happy, they don't need to stay."
On Thursday, Adriano was also under the spotlight for wearing a T-shirt instead of the official club uniform as the team arrived at Sao Paulo airport following a flight from Colombia.