The Italian goalkeeper has been missing since an elbow injury ruled him out of action in late August.
The two defenders have helped Everton enjoy the second-best defensive record in the league this season.
Tottenham Hotspur loanee has not done his chances of coming back to play for the club any favours this week.
West Ham have struggled in the Premier League this season.
The midfielder joined Newcastle on a free transfer in 2014 when his contract at rivals Sunderland expired.
Rashford, Iwobi and Iheanacho are the Premier League's brightest starlets after establishing themselves last season and replicating that form this term.
Crystal Palace winger Andros Townsend has looked back on his time at Spurs.
The former Leeds United manager has spoken about the academy he left behind at Elland Road.
Payet has chosen to remain with West Ham despite his electrifying debut season in England and his starring role at Euro 2016.
The agent of Juventus goalkeeper Norberto Neto has commented on interest from Everton.