Manchester United had been chasing Robben, who had a contract with PSV until 2007 - but it appears Chelsea have beaten them to a player who visited United's Carrington training ground in January.
ROBBEN
Reports in the Dutch media have linked the 20-year-old winger with a summer move to London, where he is set to sign a five-year contract at a cost to the Premiership club of 20million euros (£13.5million).
A United bid for the player was dismissed as being far too below the price that United and the Dutch club had originally agreed.
The Chelsea official website said on Monday night: 'Chelsea can confirm that we are in negotiations with PSV Eindhoven for the purchase of their 20 year old international striker Arjen Robben, and that he is undergoing a medical with a view to signing.'