At the 2013 European Championships in Moscow, Iordache qualified first into the all-around final and the balance beam final, second to the floor exercise final, and fourth to vault final. In the all-around final, she scored 14.833 on beam, 14.866 on floor exercise, 14.900 on vault, and 13.833 on uneven bars. She won the silver medal behind Aliya Mustafina of Russia. In the vault final, she tied with Dutch gymnast Noel van Klaveren for the silver medal with a score of 14.466. Additionally, she won the silver medal in the floor exercise final behind Russia's Ksenia Afanasyeva and the gold medal in the balance beam final. Then at the 2013 Anadia World Cup, Iordache won the gold medal on the balance beam and on the floor exercise.