Miteva's father, Dimitar Mitev, is a Brevet judge and junior men's national coach in artistic gymnastics.

[3] In 2013, Miteva won the silver medal in All-around behind Russian gymnast Margarita Mamun at the 2013 Moscow Grand Prix.

Miteva competed in home crowd at the 2013 Sofia World Cup, she won the silver medal in all-around behind Yana Kudryavtseva.

She then competed at the 2013 Minsk World Cup where she finished 5th in all-around behind Son Yeon-Jae, Miteva won bronze in ball final.

At the 2013 World Cup series in St.Petersburg, Russia, Miteva finished 5th in all-around behind Korean Son Yeon-Jae, she won bronze medal in ball final.

She then competed at the 2013 World Championships in Kyiv, Ukraine where she qualified in all four event finals, she finished 4th in ball, 6th in hoop, 8th in clubs and ribbon.