The Blaugrana have been linked with Lautaro in recent months and reports in Italian media claimed the La Liga side wanted to push down the price through a swap deal.
Sport claims the centre-forward still tops the wish list at Camp Nou, but the two clubs are struggling to agree a transfer fee for the 22-year-old.
The newspaper claims Lautaro’s representatives and the Inter management are meeting in the next few days to discuss the Argentine’s future in Milan.
Inter have, according to the report, requested a minimum of €85m, but Barcelona are currently offering €65m plus one player.