The Toffees brought in Eliaquim Mangala, Theo Walcott and Cenk Tosun in January, but rumours already surround the club's plans for the summer transfer window, with another winger seemingly wanted.
Bergwijn, 20, started out his career with Ajax before heading to rival PSV in 2011, and he has become a first-team regular in Eindhoven, notching five goals and four assists this season.
The Dutch wide man has been tipped for a bright future, and with Everton and Tottenham vying for his signature, Bergwijn could be spoilt for choice at the end of the season if clubs firm up their interest in him.
However, Everton may just feel that they can win the race for Bergwijn, given that the Daily Mail report that majority shareholder Farhad Moshiri is lining up a move to land PSV's technical director Marcel Brands at the end of the season.
With doubts over Steve Walsh's future as Everton's director of football, Brands could be brought in to spearhead the club's transfer plans this summer, and his inside knowledge of Bergwijn may just be a major boost for the Toffees.
Brands has watched Bergwijn develop with PSV over recent years, and if Everton do land Brands, then he can use his contacts at PSV to strike a deal, whilst also being able to strike an instant rapport with the winger and offer him the chance to thrive at Goodison Park.
Tottenham's potential Champions League status and record with young players under Mauricio Pochettino will be appealing, but if Everton can bring in Brands, they will stand a great chance of luring Bergwijn with him.