The trio met in the Brazilian city of Rio de Janeiro, where they held a short meeting to discuss Tevez's personal terms before all parties posed for photographs with the waiting media.
Milan negotiator Galliani then spoke with Manchester City's acting chief executive John MacBeath, where he gave an update on their side of the deal with Tevez, before saying he hoped everything could be completed by early next week.
The details are yet to be confirmed but it is expected that Tevez will join Milan on loan until the end of the season, before a mandatory permanent deal in the summer that could be worth up to £20million.
However, as Milan left Rio confident they have got their man, back in Manchester Inter technical director Marco Branca was also holding talks over Tevez - but only at a low level at present.
City are hopeful the two Milan clubs could start a bidding war, but Joorabchian has confirmed to the Italian it's almost a done deal with AC, saying: 'We have great confidence in the successful outcome of negotiations between the two clubs.'
Reports in Argentina already claim Tevez has picked his new home in Milan, close to the Piazza San Babila, and will move in next week.