Ali Karimi converted a penalty after 55 minutes to seal a 1-0 victory for Iran on Saturday.
Vasas SC ranked 13th in the first division of the Hungarian National Championship's last season.
In its friendly during the training camp, Iran was held to a 1-1 draw against Serbia's Red Star Belgrade, which ended as runner-up in Serbia Superliga's 2009-2010 season.
Iran will play its last friendly against Serie A club Lazio on Wednesday.
The national team's 12-day training camp in Austria will end on July 24.