World Cup hosts Russia lost 1-0 away to Austria in their first warm-up game yesterday.
Austria secured victory through Alessandro Schopf's decisive strike on 28 minutes.
The visitors will be concerned by their lack of cutting edge in attack as they prepare to stage the 21st World Cup, which starts next month.
Russia, who will complete their warm-up schedule at home to Turkey on June 5, host Saudi Arabia on the opening day of the tournament on 14 June.