The 21-year old Czech Republic striker starred on loan for Watford last season, scoring 22 goals on his way to the Championship Player of the Year award.
"West Brom have made a bid and they interest Matej," said a source close to the former Banik Ostrava youngster.
"He is focused on Udinese but West Brom are a club he would like to join. We have heard good things about (Albion manager) Steve Clarke from other players.
"West Brom are clearly a club going places."