Studying at the institute, she participated in amateur performances, taking prizes at singing competitions.

In the year graduating from the university, the head of the State Variety Orchestra of Armenia, People's Artist of the USSR Konstantin Orbelyan invited Roksana to her orchestra, to Yerevan, where she later became a professional singer.

The turning point in the career was the participation in the International Festival of Internationales Schlagerfestival Dresden on 16–19 September 1976 in the East Germany.

Despite the very strong composition of the contestants and the constant sympathy of the German jury to their performers from the GDR (in 9 of the 17 festivals they were the winnersу[5]), Babajan was able to win.

A new period of popularity came from the late 1980s, when Babayan annually appeared in the finals of the festival Pesnya Goda from 1988 to 1996.