The Sun says Alex Hleb is eager to get away from Arsenal with Barcelona the latest club to make a move for the unsettled Belarus star.
Wenger was in Vienna on Sunday to watch Silva in Spain's victory over Italy - a match decided by Gunner Cesc Fabregas in the penalty shootout.
Silva, 22, was again impressive, as he has been throughout Euro 2008, in Spain's march to the semi-finals.
His versatility attracts Wenger because he can play right or left of midfield or off the front man.
An Arsenal source revealed: "Arsene wasn't just in Vienna to cheer on Cesc - he was there to take a good look at Silva.
"He is a player who would fit well in the Arsenal set-up, especially if Hleb goes."