In 1956, she graduated from Tchaikovsky Moscow State Conservatory and was one of the students of cellist Mstislav Rostropovich.

Medea Abrahamyan performed in numerous countries, including France, Germany, Belgium, Luxembourg, Poland, Bulgaria, the Czech Republic, Slovakia, Hungary, Romania, Iceland, Korea, the United States, Canada, Argentina, Uruguay, Syria, Lebanon, the republics of the former USSR and more.

[1] Alongside her concerts, Abrahamyan also lectured at Yerevan Komitas State Conservatory and the ten-year Tchaikovsky School for decades.

[2] She has taught students of different nationalities and educated generations of musicians in her classroom, which is now widely recognized in not only Armenia, but also abroad.

[3] She was a member of the juries of several international, All-Union and republican competitions and gave master classes.