He has premiered over 2/3 of his compositions in France, the Netherlands, Belgium, England, Canada, India and South Africa and his works have also been performed in Italy, Germany Sweden and the USA. He has premiered his orchestral and chamber music with his ensembles Concerto Felice, Baroque SaMuse and The Baroque Muse which he founded in 2009. He has performed his works also in solo recitals, in trio and in duo with flutists Brian Berryman and Grégoire Jeay; recorder players Heiko ter Schegget, Matthias Maute, Sophie Larivière, and Ambikaprasad Mallik; oboist Matthew Jennejohn; violinists Hajo Bäss, and Simon Standage; viol player Susie Napper; cellists Tormod Dalen and Ifan Williams. Hajo Bäss has premiered the "Fantaisie pour violon seul", which was composed for him in 1999. Bouman premiered with Simon Standage the "Classical Sonate for Violin and Piano in Bflat major" which he composed for him in 2008. Bouman composed the music (which he directed from the harpsichord) for a production of Molière's "Le Malade Imaginaire" in Auroville, India in 2006. In March 2009 he inaugurated his concert series Baroque by the Sea, Eastbourne in the United Kingdom. In Brighton, Sussex, in the United Kingdom in November 2009 he premiered with his ensemble The Baroque Muse his compositions "Harpsichord Concerto in D major" – soloist Hendrik Bouman, "Flute Concerto in E minor" – soloist and dedicatee Grégoire Jeay, "Violin Concerto in D major" – soloist and dedicatee Simon Standage, "Cello Concerto in A minor" – soloist Tormod Dalen, and "Recorder Concerto in C major" – soloist Heiko ter Schegget.