Lukaku left Everton to join Manchester United in the summer of 2017.
Tottenham were knocked out of the Carabao Cup by Chelsea on Thursday night.
Mauricio Pochettino’s Tottenham Hotspur lost against Chelsea on Thursday.
Everton have brought in Andre Gomes on loan from Barcelona, and the midfielder has impressed for Marco Silva's men.
Everton lost to Liverpool at Anfield in the Merseyside derby on Sunday.
Bernard joined Everton in the summer transfer window.
Everton raised eyebrows when they paid Premier League rivals Watford a club-record £50m for Brazil forward Richarlison.
Everton played out a goalless draw with Chelsea in the Premier League on Sunday.
Bernard and Theo Walcott have made Marco Silva's Everton much more exciting in the new Premier League season.
Liverpool and Manchester United reportedly want Arsenal midfielder Aaron Ramsey.