The 20-year-old has established himself as a regular in the PSV first team over the past two seasons, turning out 36 times for the club across all competitions during the 2017-18 campaign and helping them to the Eredivisie title in the process.
The forward, who can play on either wing, is considered one of Dutch football's brightest prospects, and his form has drawn the attention of a number of Premier League clubs.
De Telegraaf reports that new Arsenal boss Unai Emery has now joined the list of potential suitors alongside North London rivals Spurs and Champions League finalists Liverpool.
Liverpool and Tottenham are both understood to have been monitoring Bergwijn for a number of months, while West Ham United, Everton and Bournemouth have also been credited with an interest in the Netherlands Under-21 international.
Bergwijn's current deal at the Philips Stadium expires in 2021.