Eva Šulić Brajčić started her music education at the Conservatory of Music and Ballet in Maribor with professor Zorica Todorović when she was only four years old. She then went on to study at the J. J. Fux Conservatory in Graz in the class of Professor Helfried Fister. From 2011 to 2015 she attended the preparatory course for gifted musicians at the University of Music and Performing Arts in Vienna with Professor Leonid Sorokow, and then enrolled in his class at the Academy of Music in Zagreb where she completed her master's degree in 2021. Eva continued to study in Vienna, at the University of Music and Performing Arts in the class of prof. Anton Sorokow, and in Paris at the Schola Cantorum with prof. Violeta Smailović Huart where she finished her postgraduate studies with a Concert Diploma (summa cum laude).

As a soloist Eva has performed with many eminent orchestras such as: Zagreb Philharmonic Orchestra, Croatian Radio and Television Symphony Orchestra, Varaždin Chamber Orchestra, Croatian Chamber Orchestra, Verdi Theater Chamber Orchestra, RTV Slovenia Symphony Orchestra, Maribor Festival Symphony Orchestra, Dubrovnik Symphony Orchestra, Slovenian National Theater Symphony Orchestra and many other ensembles. She performs regularly as a soloist or chamber musician at important Croatian music festivals such as: Dubrovnik Summer Festival, Osor Musical Evenings, Samobor Music Autumn, Music Evenings in Saint Donat, Korkyra Baroque Festival etc.  From 2021, Eva became a member of the Croatian Radiotelevision Symphony Orchestra as an associate concertmaster.

She has participated in many music competitions; Eva is a multiple winner of the first prizes at the Slovenian national competitions TEMSIG, in 2006 and 2009 she won the absolute first prize at the international competition Ars nova in Trieste, and in 2013 she received a gold plaque at the international competition Giuseppe Tartini in Piran. In Vienna in 2016, she won the prestigious Stefanie Hohl competition. In 2021, Eva won the first prize at the Papandopulo competition, and the award of the Croatian Society of Composers for the best performance of Boris Papandopulo's composition. She is the winner of the prestigious Stjepan Šulek Award for her performance of Four Seasons of Buenos Aires by Astor Piazzola, which was awarded to her by the Stjepan Šulek Fundin 2021. In 2022 she was awarded with Ivo Dražinić Award for her achievements and musical career.

From 2017-2023 Eva collaborated with cellist Tonka Javorović and pianist David Vuković in Trio Eusebius under the mentorship of prof. Pavle Zajcev. Trio Eusebius is the winner of several important Croatian competitions: at the International Competition of Young Music Artists Ferdo Livadić in 2019 they won the main prize of the competition for the best artistic personality; at the Croatian Competition of Young Music Artists Papandopulo 2019 they won the first prize and the award of the Croatian Society of Composers for the best performance of a work by a Croatian composer; at the "Darko Lukić" forum in 2021 they won the main "Darko Lukić" Award and the Croatian Music Institute Award. They are the recepients of the Dean's Award for achievements in the academic year 2018/2019. Together they performed at important festivals such in Croatia and abroad. On several occasions they recorded music by Croatian composers for Croatian Radiotelevision archive.