The 21-year-old has caught the attention of top European clubs with his showings in Dutch Eredivisie and is now widely tipped to leave De Kuyp in the summer.
Fiorentina and Liverpool have long ago expressed their interest in signing the talented midfielder, but it appears Arsenal have also joined the race.
The Gunners are keen to reinforce the squad after what will have been another disappointing season and Arsene Wenger hopes to lure the player to the Emirates.
Clasie is unlikely to come on the cheap, having already established himself as a first team regular in the Netherlands national team, while continuing to impress at Feyenoord.
Since arriving at De Kuyp from Excelsior, the youngster has made a total of 58 league appearances for the club and scored 5 goals.