Chelsea The Europa League finalists are hoping the Brazilian can be a replacement for the outgoing Eden Hazard, who has been heavily linked with a move to Real Madrid.
The former Liverpool playmaker has cut a frustrated figure for the Catalan club this season, finding starting opportunities limited at the club and struggling to find consistent form.
However, the outgoing FA Cup holders are banned from signing players for each of the next two transfer windows, meaning that any deal for Coutinho is impossible in the next 12 months.
Coutinho, who moved to the Nou Camp from Liverpool in January 2018 for an initial €120m fee, has not established himself as a consistent starter under Coach Ernesto Valverde – with just 38 La Liga starts in 16 months.
The player was recently booed by sections of Barca’s support in their 3-1 home win over Rayo Vallecano and appeared to cup his ears to fans after scoring against Manchester United in the Champions League.
Paris Saint-Germain and Manchester United have previously been linked to the player, who has struggled to maintain a place ahead of Ousmane Dembele in the side.