Sport says Barcelona's sporting director Deco is looking for two new full-backs for next season.
In the hunt for a left-back, Barcelona want to find a long-term solution, bringing in a player who can seriously challenge Alejandro Baldé, 21, for a starting place.
Henrique, 27, is a target for the Catalans.
The Brazilian has been linked with Barcelona on several occasions.
Henrique is once again on Deco's list of potential signings next summer.
The 27-year-old has provided one assist in 14 competitive games for Monaco this season.
His contract with the Ligue 1 club runs until the summer of 2027.
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