Wales, under then-manager Mark Hughes, held the hosts to a goalless draw in Moscow in a play-off to make the Euro 2004 finals.
Welsh fans can now confirm travel plans and arrange visas for the trip to watch John Toshack's side in action.
Wales will play all their home games in 2010 World Cup qualifying at Cardiff's Millennium Stadium.
That is despite a plea from Toshack to increase Wales' chances by taking matches to smaller venues to discomfort visiting teams.
The remaining home fixtures at the Millennium Stadium are against Liechtenstein (11 October), Finland (3 March, 2009), Germany (1 April, 2009) and Russia (9 September, 2009).
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