The playmaker lasted only 12 minutes before he was forced to to go off appearing to clutch his right hamstring. If the injury is serious Silva could miss further important games.
After Albion, City travel to Amsterdam for a vital Champions League group game against Ajax, with Roberto Mancini's team yet to win in the competition.
There may be better news for Mancini after his captain, Vincent Kompany, came through Belgium's 2-0 win over Scotland. The defender missed City's last game, the 3-0 win over Sunderland, with a calf problem.
Mario Balotelli, who missed Italy's victory over Armenia on Friday due to flu, returned to score in the Azzurri's 3-1 win over Denmark.