Both sides qualified for the last 16 of Europe's premier club competition on Wednesday, setting up a potentially emotional return to Stamford Bridge for Drogba.
The Ivorian - signed by Chelsea boss Mourinho in 2004 - went on to become a legend at the London club, scoring 157 goals in 341 matches, making him their fourth-highest scorer.
And in his final game for the club, Drogba scored an 88th-minute equaliser in the 2012 Champions League final against Bayern Munich, setting up a penalty shootout that he would eventually finish with the decisive spot kick.
When asked about the potential of playing the Turkish giants on Wednesday, Mourinho said: "Yes, Galatasaray is difficult. The Turkish champions with 'King Didier'. Very difficult.
"But I'd like Didier to be back here and feel what I felt. He deserves to come here and get the reception double or three times better and bigger than I had (when I returned with Inter)."
Get the best features, fun and footballing frolics straight to your inbox every week.
Thank you for signing up to Four Four Two. You will receive a verification email shortly.
There was a problem. Please refresh the page and try again.