The Toffees looked around desperately on transfer deadline day to try to reinforce their attacking options, but came up short.
They failed with bids for a number of players, while other targets were not keen on walking into the chaos which has engulfed the Goodison Park club this season.
Ayew could yet be added to the ranks though as he is a free agent, having terminated his deal with Al Saad.
He is expected to fly into the UK in the next 24 hours and will assess his options, with Everton keen.
The Toffees feel the 33-year-old could add to their attacking options, but it is claimed their chances of signing him are just 50-50.
While Ayew wants to return to the Premier League, he also has interest from other clubs.
Everton are considering offering Ayew a contract running until the end of the season, but as a free agent, he is likely to be an attractive proposition for a number of sides who cannot now sign players from other clubs due to the window shutting.