The 20-year-old may be the next unlikely household name as the Foxes are contemplating snapping up the non-league star.
The striker currently plays for Harrow Borough who play in the Ryman League and has scored 10 goals in 14 games this season.
The 'Daily Mail' is reporting that Meite will play in a behind-closed-doors friendly on Friday and will make a decision on the non-league star.
Leicester are hoping that the striker will make a similar rise to that of Jamie Vardy, who came started in non-league football before making a meteoric rise to become a Premier League champion and an England international.