After almost joining Leicester City last summer, the 28-year-old is now ready to leave in search of a new challenge.
West Brom are fans of the midfielder and they were one of several sides in England hoping to land him.
But, according to Diario de Noticias, the Baggies have pulled out of the race to sign Silva after he snubbed their approach.
The Portugal international reportedly has no interest in joining a side which isn't playing in the Champions League next season.
West Brom's failure to land Silva could be good news for Tottenham, though, who are still being linked with a move for Silva.