The skilful Barcelona forward was a big hit with the supporters during his brief stay on Merseyside, the highlight of his time at Goodison being his right-footed thunderbolt to secure a draw against Arsenal at the Emirates.
The 21-year-old then spent last season on loan at Sevilla but struggled to command a regular place in the side under Unai Emery.
With Lionel Messi, Neymar and Luis Suarez scoring goals for fun at Barcelona, Deulofeu knows he is unlikely to see any first-team action at the Nou Camp any time soon.
The Echo therefore claims he is keen to return to Everton and work under Roberto Martinez, with whom he enjoyed a close relationship.
Deulofeu's contract at Barca runs until 2017 so another loan deal is most likely. However, with Barca currently operating under a transfer ban they may well be reluctant to let players go given they are unable to buy replacements until January.
Roberto Martinez admitted the transfer embargo could scupper any deal in an interview with fan media last month, even though he admitted he was a big fan of Deulofeu.
Never underestimate the ability of player power to get things moving in the transfer market though. So if Deulofeu is indeed keen on a Toffees return, he may just get his wish.