The Netherlands international - who played under the Portuguese at Inter - has not ruled out playing under his former coach again.
Sneijder only moved to Galatasaray in January but did little to play down the suggestion that he could join the 50-year-old at Stamford Bridge.
"I have a great relationship with Jose Mourinho," Sneijder told SporX. "We have kept in contact since our days at Inter. Does Chelsea need a playmaker? I'm not sure. In soccer you can never be certain of what will happen next but I'm very happy in Turkey."
Sneijder, 28, has made 12 appearances for the Super Lig side, and did draw criticism initially as his fitness levels were questioned, but the Netherlands international looked back fondly at the Champions League run.
"Reaching the quarterfinals of the Champions League was our target and we reached it," he added.
"The first leg against Real Madrid was disappointing, had we played better we could have progressed. The home leg with the 12th man behind us was amazing."