Tottenham Hotspur are reportedly pushing for a deal involving the young Argentine.
The 22-year-old is currently on loan at Sao Paulo where he has scored an impressive eight goals in just 11 appearances.
The report goes on to claim that Italian side Fiorentina are also interested in signing the exciting young Argentine but that his future is likely to see either a stay at his current loan club or a switch to Tottenham.
Calleri came through the ranks at All Boys before hitting the headlines with a superb scoring run for Boca Juniors, finding the net 21 times in 53 matches to date.
There is little doubt he would be a hit at White Hart Lane if Tottenham manager Mauricio Pochettino pulls off the deal. But given the sheer number of strikers linked with the club in recent times it remains to be seen whose signature they will ultimately secure.