Firmino has only been with Al Ahli for six months and is looking to go.
Prior to Paul Heckingbottom’s dismissal as manager, Sheffield United also shown interest in the Brazilian.
The eight years that the Brazilian great had with Liverpool were ended by his transfer to the Saudi team.
Firmino appeared in 362 games for the Reds during that period, scoring 111 goals.
The Premier League, Champions League, FA Cup, EFL Cup, UEFA Super Cup, and Club World Cup were among the many titles he helped Liverpool win during that period, adding to an already impressive trophy case.
Following the summer departure of talisman Aleksandar Mitrovic to Al Hilal, Fulham is searching for an accomplished striker to lead their line.
Firmino, who joined Al Ahli during the summer, had a fantastic debut after being named captain and going on to score a hat-trick against Al-Hazem in his first game.
The Brazilian sensation has only managed three goals in 19 outings overall, and he has not scored any since.
Firmino has also had a difficult time off the field; in mid-November, while on a family vacation, his father unexpectedly died of a heart attack.
Fans will be thrilled to see Firmino, a modern-day Premier League legend, taking the pitch once more with his signature smile.