Modeste has enjoyed a stunning season in the Bundesliga with current club Cologne. His 23 top flight goals puts him third on the division's scoring charts, only behind Robert Lewandowski of Bayern and Borussia Dortmund's Pierre-Emerick Aubameyang who have both scored 26 times this term.
Although the Merseyside outfit have slapped a £100 million asking price on the Belgian, according to the Echo, it would hardly be a surprise if Ronald Koeman was lining up potential replacements for the club to pursue this summer.
And BetVictor believes that Modeste may be the man Everton look at, with the side listed as 3/1 favourites to land his signature.
However, their Premier League rivals may have something to say about that, if the betting is anything to go by, with West Ham at 4/1 and Arsenal at 6/1.
Everton manager Ronald Koeman
The 29-year-old is no stranger to the English leagues, but his previous spell in the country is probably one he would rather forget, having failed to score in nine appearances while on loan with Blackburn Rovers in 2012.
And the opportunity to prove just how good he can be in the Premier League may perhaps be extremely tempting if the chance presents itself this summer.