On the junior level, she is the 2016 Youth Olympics team event bronze medalist, and the 2015 Santa Claus Cup champion.

[1] She made her first appearance on the junior international level in November 2013, at Skate Celje.

In February 2016, she placed 14th in her individual event at the 2016 Winter Youth Olympics in Hamar, Norway.

During the summer, she relocated to Bergamo, Italy, where Franca Bianconi and Rosanna Murante became her coach.

In December 2017, Medgyesi won the Hungarian national title ahead of defending champion Ivett Tóth.