The Tottenham Hotspur midfielder has struggled for form this season.
West Ham United wanted to sign Islam Slimani from Leicester City on transfer deadline day but the Algerian ended up at Newcastle United.
Everton signed Cenk Tosun for £27 million yesterday.
Michael Keane joined Everton in the summer transfer window.
Former Everton striker Romelu Lukaku failed to make an impact for Manchester United against Manchester City in the Manchester derby at the weekend.
Tottenham have been drawn against Juventus in the last 16 of the Champions League.
Pundit Danny Murphy has been discussing West Ham United and feels Everton manager Sam Allardyce should still be in charge of the Hammers.
Tottenham Hotspur will face Stoke City in the Premier League this afternoon.
David Moyes is facing an uphill battle to keep West Ham United in the Premier League this season.
Alli has failed to score in his last five Tottenham Hotspur appearances.