24-year-old Assignon was on loan at Burnley last season, playing 15 Premier League games in total, and impressed despite the club’s relegation.
Assignon demonstrated strong attacking flair at right-back, and was also very capable at defending one versus one.
And according to the report mentioned, Burnley were very keen to sign Assignon permanently, prepared to activate the £8m clause in his loan.
However, despite tabling a ‘fantastic offer’ to the Frenchman, Assignon was not interested in following Burnley to the Championship.
Assignon wants a new challenge this summer and seems likely to leave Stade Rennais upon his return.
Olympique Marseille are said to be the frontrunners for his signature right now, but all of Galatasaray, Everton, Fulham and Nice are also very interested.
Everton also chasing deal for Illiman Ndiaye
Both Nathan Patterson and Seamus Coleman competed on the right for Everton last season.
But with Coleman now 35-years-old, it would seem sensible for Dyche’s side to invest in more cover in the position, even considering Ben Godfrey’s versatility.
Either way, it’s clear that Everton are not wasting any time this summer, keen to avoid being involved in another relegation conversation.