A deal to join Roma on a loan from Arsenal is close to being reached.
The loan market is being explored by the club because they don't have the money to spend in the January transfer window.
Since November, when he last appeared for the Gunners, Maitland-Niles has made eight appearances for the club.
Tammy Abraham, who joined the Stadio Olimpico in the summer, has scored 12 times in 25 games, and the feeling is that the same can be said for Maitland-Niles.
The utility player, who can play in either full-back or in the middle, wanted to join the Goodison Park club in the summer after spending the second half of last season on loan at West Bromwich.
During the summer transfer window, he made a plea on social media for a move, but the club decided against allowing him to leave and he stayed until January.
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In August, he wrote on his social media account, "All I want to do is go where I'm wanted and where I'm going to play."
Over the course of his career at the club, Maitland-Niles has won three FA Cups and registered 132 appearances. His contract with the club is set to end in 2023.
Speculation is still going on over the futures of Eddie Nketiah and Alexandre Lacazette, whose contracts are up in the summer.
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Eddie Nketiah is set to be out of contract in the summer, and the Soccer Special panel got into a heated debate over his future.
Arteta wants to clear the cloud over the strikers.
Mikel Arteta said he is trying to resolve a cloud of different issues over his forward options.
The manager said that the cloud was there. We can't change it at the moment.
We are trying to make it as small as possible and as clear as possible, but the situation we are in is difficult to resolve because contracts have details.
It's something that you have to consider, it depends on the player's situation, the minutes he's playing, his willingness or the contract offer that you have.