Negotiations between Inter and Barca have stalled for the 22-year-old Argentine striker.
And with his €111m release clause having now expired, there have been signs that Lautaro will stay in Milan.
However, it is reported that Inter will now accept €90m instead of the €111m they were set on receiving.
If a player, such as Junior Firpo, is included in the operation it would mean cash-strapped Barcelona having to pay even less.
Philippe Coutinho, who was on Inter’s books as a youngster, has surfaced as a possible swap option in recent days.
Martinez is desperate to join Barcelona and the transfer talk has impacted his form for Antonio Conte’s side.
He has scored just once in seven appearances since the restart and was benched against Verona on Thursday.