Arthur marked his return from injury by starting Liverpool Under-21s' Premier League 2 Division One clash with Leicester City on Saturday.
It was the Brazil international's first Reds appearance in any form since September, with a long-term thigh injury sidelining the Juventus loanee.
Arthur has played just 13 minutes of senior football since joining Liverpool from the Bianconeri, appearing as a late substitute in the Champions League defeat by Napoli, while he has also appeared twice for the under-21s side.
The 26-year-old started in the heart of midfield for the under-21s, who were aiming to end a run of three matches without a win.
Liverpool have the right to buy Arthur, who spent two years with Barcelona prior to joining Juventus in June 2020, with the option entailing a reported £32.3million (€37.5m) fee to be paid at the end of the season.