The 19-year-old defender has entered the final year of his contract with Liverpool and has been linked with a move away from the club in the transfer window.
Newly-promoted Premier League side Leeds have taken a look at signing him, but have yet to lodge a bid for his services.
Olympiacos are now a potential option as they hold an interest in Larouci.
The two clubs did business earlier in the window, with left-back Konstantinos Tsimikas switching from Olympiacos to Liverpool for a fee in the region of £12m.
They could be in line to do business again should the Greek top flight side decide to turn their interest in Larouci to an offer.
With the transfer window slamming shut on 5th October, Olympiacos may have to move quickly to land the teenage full-back.
Larouci has made two senior appearances for Jurgen Klopp’s side, with both of them coming in FA Cup ties against Everton and Shrewsbury last term.
