The Catalan club are planning to find a long-term replacement for Luis Suarez with the Barcelona star presently in the downturn years of his career.
As indicated by Diario Sport, Barca are eager to offer the Serie A side £60m in addition to two players to grab the 22-year-old, having shown much interest in the Argentinian.
The forward is under agreement with Inter until summer 2023 and allegedly has a release clause worth around £93.4m.
Martinez has scored 16 goals in 30 appearances this season, including five for the Champions League.
The Italian side as of now sit third in Serie A – only six points behind current leaders Lazio as Antonio Conte keeps on fighting for the title this campaign.