Everton pair Williams and Dowell are currently on loan at Barnsley and Nottingham Forest respectively.
Cenk Tosun scored twice for Everton against Stoke City in the Premier League on Saturday.
Sam Allardyce has managed all three clubs - Newcastle United, West Ham United and Everton.
Allardyce signed an 18-month contract at Everton in late 2017.
The Stoke City striker is the son of ex Everton favourite, Kevin Campbell.
Tyrese Campbell, whose father begin his career at Arsenal, is currently on Stoke City's books.
The Stoke City striker's father played for Everton - among others.
West Bromwich Albion completed the loan capture of Daniel Sturridge yesterday.
West Ham United are reportedly locked in talks to sign the Russian skipper.
Could Everton reignite an interest in Olivier Giroud? Kevin Campbell wouldn't be against that idea it seems.