In the period from 2007 to 2011, Aleksanyan was not called to the team. With the transition from the Gandzasar in Ulisses, Aleksanyan played with a renewed vigor. This was followed by calls to the team, but when taking part in the first two matches, Aleksanyan failed to amaze. Only in the third game of Aleksanyan's return to the national team did they succeed. It happened on 2 September 2011 as part of the UEFA Euro 2012 qualifying match against Andorra. The Armenian team celebrated success - 3:0.