The Turkish giants made a move to sign Calhanoglu, 32, last summer but he ultimately remained at Inter Milan.
He has once again been a key player for the Italian side, scoring eight goals and providing four assists in his 23 games this season.
Links with Galatasaray continue to circulate, however, and the club’s vice president has all but confirmed they will be back in for him in the summer.
Speaking to Gazzetta dello Sport he said: “We’ve never hidden our interest. Hakan is an icon of the Turkish national team and a Galatasaray fan. I don’t know when, but I’m sure we’ll see him play for us one day.”
He also revealed that they tried to sign him in January too, adding: “Yes, we made another attempt for Calhanoglu.
"We discussed the deal with Inter Milan, but we were told that Hakan wouldn’t leave during the winter transfer window.”