Durunda made her senior debut at the 2013 Miss Valentine Cup in Tartu, Estonia where she won the bronze medal in all-around behind Ukrainian champion Ganna Rizatdinova and silver medalist Melitina Staniouta. She also won bronze in the ball, clubs and ribbon final. Durunda won gold in All-around at the 2013 Baltic Hoop. At the 2013 Pesaro World Cup, Durunda qualified for all four event finals, she finished 5th in ribbon. Durunda finished 6th in all-around at the 2013 Sofia World Cup and qualified for all four event finals. She again finished 6th in all-around at the 2013 Minsk World Cup. Durunda competed at her first Senior Europeans at the 2013 European Championships in Vienna, Austria. She and teammate Lala Yusifova represented Azerbaijan where they finished 4th in Team event. She qualified for three apparatus in the finals and finished 5th in ball, hoop and ribbon. She won her first senior national title at the 2013 Azerbaijan National Championships. At the 2013 World Cup Final in St.Petersburg, Russia, she finished 6th in all-around and again qualified to all 4 event finals. Durunda competed at the 2013 World Championships in Kiev, Ukraine where she qualified and finished 5th in ribbon final. Durunda finished 16th at the 2013 World Championships All-around final behind Belarusian Katsiaryna Halkina. In October, she competed at the 2013 Grand Prix Brno finishing 6th in the all-around and qualified to four event finals. On October 25–27, Durunda competed at the World Club Championship, the 2013 Aeon Cup in Tokyo, Japan representing team Neftchi (together with teammate Lala Yusifova) finishing 5th in Team event. She finished 6th in the All-around finals behind Belarusian Katsiaryna Halkina.