The 6ft. 8” Ivorian striker spent the back end of last season on loan at Goodison Park from the Ligue 1 side, but made only one league outing – netting one goal – due to a niggling hamstring injury.
But he made a big impression on Martinez, who is desperate to turn his side’s ailing season around quickly as he eyes a late push for European qualification.
The Merseysiders sit in the bottom half of the table after a stuttering start to the campaign, with one win in their last seven games a worry for the Spaniard.
Everton narrowly missed out on Champions League qualification last season, but even a return to the Europa League for next term looks unlikely at the moment.
Monaco are open to a loan deal for the beanpole marksman, yet they will demand a fee in the region of £2m to allow to him to spend the rest of 2014/15 in the blue shirt.