Vlahek started his musical education at the age of 9 in his hometown. Being immediately recognized as a specially gifted child, he entered class of Vladimir Krpan and graduated piano at the Zagreb Academy of Music as one of the youngest students in the history of this institution. He obtained a soloist diploma at the Conservatoire de Lausanne with Jean-François Antonioli and received a master's degree at the Hochschule für Musik Köln where his teachers were Vassily Lobanov (piano), Tilmann Claus and Johannes Fritsch (composition and improvisation). From 2010-2013 he studied with Dmitri Bashkirov at the Queen Sofía College of Music in Madrid.
Vlahek's piano playing has been noted for "fantastic virtuosity" and "depth of musical thought that bewitches the audience". The critics have called him a "New Pogorelich". He regularly gives recitals and appears as a soloist with orchestras throughout Europe, in Asia, Africa, South America, Russia and Israel; in the venues such as Palau de la Música Catalana in Barcelona, Franz Liszt Academy in Budapest, National Auditorium of Music in Madrid, Gasteig in Munich, Mozarteum Salzburg, Tel Aviv Museum of Art, Shanghai Concert Hall, Seoul Arts Centre; and at the festivals of Bolzano, Dubrovnik, Vienna, Moscow, Palma de Mallorca, Dar-es-Salaam, Verbier and many others. His performances were broadcast on TV and radio stations such as British BBC3, Dutch NPO Radio 4, Catalunya Ràdio or Radio Suisse Romande, for which he recorded Saint-Saëns' Piano Concerto No. 2 with Orchestre de Chambre de Lausanne. He regularly performs with his wife Dubravka Vukalović as D&B Piano Duo. He also appears as a concert organist.
He is a first prize winner of the international piano competitions “Ricard Viñes” 2008 in Lleida  and “Alexander Scriabin” 2010 in Paris, and laureate of the 6th China Shanghai International Piano Competition and Concours International de Piano de Lyon (France), received a title of the Young Musician of The Year 2010 given by Zagreb Philharmonic Orchestra in Croatia, and won prizes such as Swiss Prix Paderewski, Yamaha Foundation's Award in Madrid, Pnina Salzman Memorial Award in Israel and Artists on Globe Award 2014. For his achievements he was awarded by the Honorary Diploma of Her Majesty Queen Sofía of Spain.
He has composed more than 40 orchestral, chamber, solo and choral works of various genres which have been performed on five continents in cities such as New York City, Chicago, London, Berlin, Amsterdam, Cambridge, Lisbon, Prague, Vienna, Salzburg, Moscow, St. Petersburg or Seoul, and at the ISCM’s World New Music Days 2010 in Sydney (Australia). In 2012 he won the 1st prize at the XXXIII International competition for organ works "Cristobal Halffter" in Spain. His works have been published in United Kingdom and USA.
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- "Archived copy". Archived from the original on 2016-08-17. Retrieved 2016-07-07.
- "Momentary Pleasures - 2010 ISCM World New Music Days". Worldnewmusicdays.com.au. 2010-05-04. Retrieved 2012-02-12.
- "Alea Publishing - Bruno Vlahek: Rhapsody for Bass Clarinet and Piano". Bassclarinet.org. Retrieved 2012-02-12.