Grozeva was born on January 26, 1976, in Sofia. She has master's degrees in journalism and film and television directing from Sofia University and the National Academy for Theatre and Film Arts, respectively. Since completing her degree in directing in the class of Georgi Djulgerov, she has been working with her husband, fellow Bulgarian director Petar Valchanov. In 2013, their short film "Jump" was nominated for Best Short Film at the European Film Awards. In 2014, they released their first feature film "The Lesson", which won awards at the film festivals in San Sebastián, Tokyo, Warsaw, Gothenburg, Thessaloniki, Sofia.