The Baggies have enquired about signing the 23-year-old, who scored 18 goals last season and is valued at £18 million.
Newcastle United have made Matz Sels their first summer signing.
Apostolos Vellios has penned a four year deal at Nottingham Forest.
The striker has headed back to Italy to continue his career.
Asano currently plays for Sanfrecce Hiroshima in the Japanese top division.
Stars from Manchester City, Chelsea and Liverpool all feature.
The striker wants to see his Sunderland manager stay at the Stadium of Light though.
The Sweden striker is closing in on finally moving to the Premier League.
Cech made the move to Arsenal after spending 11 successful years at Chelsea.
Crystal Palace's Dwight Gayle is set to sign for Newcastle.
Welcome to this morning's transfer round-up. This edition features 'Jamie Vardy still interesting Chelsea?' and 'Jamie Vardy linked to Manchester City again' plus more, so delve in below.
Paul Merson has hailed West Ham playmaker Dimitri Payet.
Kyle Walker has praised the quality of Tottenham's defenders.