Diarra failed to make an impression at the Boleyn Ground during his two year stay, where he made just six appearances, but Brighton are set to offer him another chance to impress in English football.
The Championship outfit have invited Diarra to train with the rest of the squad, with manager Sami Hyypia keen to add quality to his first-team.
"He hasn't got a club at the moment and when I heard that I immediately invited him here," Hyypia is quoted as saying by Eurosport.
"I gave him an opportunity to train with us and at the same time we can have a look at how he is.
"He has trained with a personal trainer but training on your own is not the same as training with the team. He is with us this week as well and we will see what happens.
"We need a midfield player. If he is the one, we shall see."
Hyypia and Diarra already have a relationship having played together at Liverpool back in the early 2000's.
Back then Diarra was a powerful presence and Hyypia will be hoping that he has not lost too much of his prior ability despite his age.
Brighton are in dire need of an injection of quality having slipped in the Championship's relegation zone and the Frenchman's experience could be crucial in seeing them to safety.