The 22-year-old midfielder is currently out on loan with Belgian side Zulte-Waregem and has made 10 appearances in all competitions so far this season which in turn has led to interest in him from the likes of Liverpool and Everton.
According to The Mirror, the two rivals are expected to battle it out over the £6m signing, although West Ham United, Borussia Dortmund and Schalke are all paired with an interest as well.
Lille paid £1.3m to Auxerre to sign Meite in 2013, as noted in the report, and it appears he has made sufficient progress since to warrant interest from some of the top clubs in Europe.