The Swede earlier stated that he was keen on moving away from Inter in order to seek UEFA Champions League glory somewhere else.
Reports from Italy suggest that the ex-Juventus player was watching Barca's situation with Samuel Eto'o, whose contract with the Catalans will expire next season.
The Cameroon hitman was on Barcelona's transfer list last summer, before staying to lead La Liga's top goal scoring charts so far in the season with 28 goals.
However, it is reported that Barca chairman Joan Laporta is willing to lure Ibrahimovic in a cash plus Eto'o deal.
Chelsea Snub
In the meantime, Ibra's agent Mino Raiola recently confirmed that Barcelona are not the only club interested in his client's services.
"Chelsea, Manchester United, Barcelona and Real Madrid are in contact with me," Raiola told Aftonbladet.
La Gazetta dello Sport stated that Raiola has already said no to Chelsea, who reportedly made a formal contact for Ibrahimovic.
Ibra and his agent are expected to honor a deal made with Inter president Massimo Moaratti that no deals for the player will be made before the end of the season.