Sport says City are making the sensational offer in their bid to land Barca striker Zlatan Ibrahimovic.
The proposal shocked Barca officials when it was made last week, but was not immediately ruled out. Indeed, the Catalans asked for more time to consider the offer.
There remain some issues to iron out, with Robinho on-loan at Santos until August 4 and his City salary of €6 million out of range of Barca. But the shock move could happen, with Ibra making the switch to City.