Barcelona are still €20m short of Inter’s demand that they meet Lautaro’s €111m release clause.
The Catalans have offered €70m plus Junior Firpo, but in Inter’s eyes that still falls well short of the €111m.
Lautaro’s release clause expires on July 7 and Barca risk losing out on their number one target.
Inter have remained resolute and not adjusted their position, despite the current economic crisis impacting the transfer market.
According to Gazzetta dello Sport, the Serie A giants are willing to give Martinez a new deal if he stays.
The former Racing Club striker is currently paid €1.5m-per-season, far below the €10m he would earn at Barcelona.
Inter would not be able to match the €10m he could make in Spain, but could upgrade his contract.
Top earners Romelu Lukaku and Christian Eriksen make around €7.5m each year, and Lautaro could expect a similar salary.
In Barcelona, they believe Lautaro will try and force a transfer soon to achieve his dream of playing alongside Messi.
But Italian reports state that he has respect for Inter, the club that brought him to Europe, and could remain diplomatic.