The Spanish international, 22, joined City from Valencia for a charge of just over £20 million in August 2020.
Torres has scored 16 goals in forty three appearances for the English champions as City won the Premier League, League Cup and reached the very last of the Champions League for the duration of his most effective full season in Manchester.
But his 2nd season at City has been disrupted by way of a fractured foot that has saved him out seeing that October.
Barca are trying to bolster their forward line after City's all-time document goalscorer Sergio Aguero turned into forced to retire in advance this month because of a coronary heart situation, just months into his spell with the Catalan giants.
Already eliminated from the Champions League on the institution level for the primary time in 20 years, Barca face a combat just to qualify for subsequent season's opposition as they take a seat 7th in La Liga beforehand of the winter break.
However, they may even still have trouble registering Torres within the income cap imposed via La Liga.
Lionel Messi's departure to Paris Saint-Germain become due to the club being not able to retain the Argentine because of spiralling debts.
Barca recorded losses of 481 million euros closing season, with a gross debt of one.35 billion euros.