Born 1974 in Trbovlje, Slovenija
- 1997 graduated with distinction on Ljubljana Music Academy
- 2000 postgraduated in Mozarteum (Austria, Salzburg) by one of the most famous flutist on the world, Irena Grafenauer
- Winner of the five first and two second prizes on the Slovenian Youth Music Competitions
- 2001 finalist of the International Music Competition EBU in Bratislava (Slovakia)
- 2006 semifinalist of International Music Competition ARD in München with ArtVento Quintett
- from1997 Solo Flutist of the Slovenian Philharmonic Orchestra
- from 1999 Professor on the Conservatorium for Music in Ljubljana
- from 2000 Assistant Professor on Music Academy in Ljubljana
- He performs as a soloist, as well as with the Slovene Philharmonic, Big Band RTV Slovenija (national TV and Radio band) and various chamber groups throughout Europe (Austria, Italy, Spain, Germany, Poland, Hungary, Croatia, Monte Negro, Slovakia, Czech Republic...) and USA
- He records for Radio Slovenia, Trio Verlag (D) Aquarius Records (CRO)
- 2000 CD »Opus di jazz«, aworded with »Zlati petelin« (Slovenian Grammy) for the best solo album of the year
- 2003 CD composer Vito Žuraj (a few pieces recorded)
- 2004 CD »Night birds«, Solo project with National Big Band Orchestra
- 2006 CD »Flute Concertos« Solo project with Slovenian Philharmonic Orchestra
- 2007 CD »The Slovenian Philharmonic Woodwind Trio«
- 2008 CD "Molly Brailaghan" artVento Quintett
- 2008 CD "...and then turn to the Mountain..." Matej Grahek- Flute & Tvrtko Sarić -Guitar
- 2010 CD "A.R. Talies" Aleš Rendla
- 2011 CD "Composer Ivo Petrić with Slovenian Philharmonic Orchestra" Concerto Dopio: Matej Grahek -Flute Andrej Žust - Fr. Horn
