Luis Diaz has seen his long-term stay at Liverpool clouded by contract disputes, as reported by Antenna.
The Colombia international is tied to the Reds until 2027, and negotiations over an improved deal has reached a dead end as it stands.
Paris Saint-Germain are on alert and are considering a move for Diaz, who is valued at around €80 million, according to Transfermarkt.
Barca are also eyeing the Colombian winger, but their ongoing financial difficulties could complicate any attempt to sign him.
The 27-year-old has been instrumental for Liverpool since his arrival two and a half years ago from Porto in a deal worth €52m.
He has 33 goals and 15 assists in 116 competitive games thus far.