The 22-year-old Spanish international joined City from Valencia for a fee of just over £ 20 million in August 2020.
Torres has scored 16 goals in 43 appearances for the English champions, as City won the Premier League, the League Cup and reached the Champions League final during their only full season in Manchester.
But his second season at City has been interrupted by a broken foot that has kept him out since October.
Barça are looking to bolster their line of attack after City’s all-time record scorer Sergio Agüero was forced to retire earlier this month due to a heart condition, just a few months after his spell with Los Catalan giants.
Already eliminated from the Champions League in the group stage for the first time in 20 years, Barça face a fight only to qualify for next season’s competition as they rank seventh in La Liga ahead of the summer holidays. winter.
However, they could even have trouble registering Torres within the salary cap imposed by La Liga.
The departure of Lionel Messi to Paris Saint-Germain was due to the fact that the club could not retain the Argentine due to the escalation of debts.
Barça recorded losses of 481 million euros last season, with a gross debt of 1.35 billion euros.