The relationship between the 24-year-old and his club appears to have deteriorated since the Spanish champions refused to release the Brazil international for this month's Olympics, claiming he has a groin strain.
However, Robinho took part in the Emirates Cup - a pre-season tournament alongside Hamburg, Juventus and hosts Arsenal - last weekend.
The former Santos attacker has already expressed his desire to work with compatriot Luiz Felipe Scolari, who took over the Chelsea reins on July 1.
And Robinho reiterated on Monday that his future in the Spanish capital is far from certain as the new season approaches.
He told GloboEsporte.com: "I still don't know whether I will continue [at Real Madrid]. It's not defined yet.
"The season is just starting and I've been given some offers from other clubs. I have one from Chelsea, but nothing has been sorted out yet. We are just talking."
Robinho also spoke of his disappointment at not taking part in the Olympics.
"Watching the Olympic team play on television is so bad," he said. "I wanted to be there with the group, but Real Madrid did not want to release me. I am truly sorry for that."