TV3 reports that the experienced player has expressed interest in returning to City for the current season.
It's been claimed that Gundogan has made a transfer request in the last 24 hours with a City return his priority.
Gundogan missed yesterday's opening day win at Valencia, but Barca coach Hansi Flick said in the aftermath: "I spoke to him today, but I won't reveal the content because it's private.
"For me, he is an important player. I have the feeling that he will stay."