Ronald Koeman is set to be announced as Everton’s next boss in the coming days, after agreeing to a move from Southampton.
The Dutch boss is reportedly keen to bring Pelle with him to Goodison Park, as he feels the Italian striker has something to offer.
Pelle has just one year remaining on his contract at Southampton, and he could be made available for transfer.
The 30-year-old was knocked down the pecking order by Shane Long towards the end of the campaign.
Koeman has already signed Pelle twice in his managerial career - at Feyenoord and Southampton - and he is known to be a big fan of the target-man.
Everton are known to be on the look out for a new striker this summer, with Romelu Lukaku set to depart.
Everton are said to have over £100 million to spend during the upcoming transfer window.