Skysports.com understands Everton and Sunderland are eyeing a move for former Valencia winger Vicente.
The experienced wide man is available on a free transfer after his Valencia contract expired and he has been chased by a string of clubs.
Vicente has received several offers to stay in La Liga, but the 30-year-old is understood to be open to a move to the Premier League.
He was linked with Blackburn Rovers, Newcastle United and Swansea City earlier in the summer, and is now a target for Everton and Sunderland.
The two top-flight clubs have had contrasting summers in the transfer market, with Everton yet to make a high-profile signing and Sunderland bringing in a wealth of fresh faces.
With David Moyes also short on funds at Goodison Park, the availability of Vicente on a free transfer would be appealing to the Toffees.