Fabinho has been left out of Liverpool’s squad for a training camp in Germany following a £40m bid for the midfielder from Saudi Arabian club Al-Ittihad.
Liverpool captain Jordan Henderson has also been linked with a move to Saudi Arabia but he is travelling to Germany.
The Reds received the offer for Brazil international Fabinho on Friday night.
A decision between the club and player was then taken to remove the 29-year-old from the touring party.
Fabinho has been at Liverpool since July 2018 after the Reds signed him from Monaco for a fee in the region of £39m.
He has since helped the club win the Premier League, Champions League, FA Cup, League Cup and Fifa Club World Cup.
There are reports Henderson is a target for Al-Ettifaq, who recently appointed former Liverpool captain Steven Gerrard as their new manager.
Liverpool have not set an asking price for the 33-year-old but the £10m offer being speculated about falls well below the club’s valuation for a player with two years left on his contract and who has been an integral part of their side.