It is stated that the Premier League leaders are looking to bring in a new central midfielder before the end of the transfer window, and Vilhena has become available with his Feyenoord contract expiring at the end of this season.
He wants to leave the Eredivisie club and will not agree a new contract extension, meaning that Feyenoord could look to offload him this month for a transfer fee, rather than risk losing him for free at the end of the campaign.
The report also indicates that Southampton and Swansea have been scouting the midfielder, with the Saints holding an advantage in the pursuit for him. It was head coach Ronald Koeman who handed Vilhena his debut as a teenager at De Kuip, and the young midfielder has remained a keen favourite of the Saints boss.
Vilhena is a midfielder who naturally plays in a holding role, and he has become renowned for his ball-playing abilities and composure on the ball - drawing comparisons with current Saints man Jordy Clasie.
He has been called into the senior Dutch squad without ever making his debut, and his time at Feyenoord this season has not been particular excellent, but Vilhena is an undoubted talent.
It is not indicated that any formal bids have yet been made for the midfielder.