Following in the footsteps of such prominent double bassists/conductors as Bottesini, Koussevitzky and Zubin Mehta, Dybał is founder and chief conductor of the "[Paderewski Chamber Orchestra]".
He performed with his orchestra on many important European festivals (among others under prestigious patronage of presidents of Germany and Poland), and did World Premiere Recording of newly discovered Ignacy Jan Paderewski's "Suite for Strings".
Especially close connection conductor holds with the "Bavarian Chamber Philharmonic Orchestra" from Germany, which he led during concert tour celebrating 70th birthday of Dybals’ great compatriot composer Krzysztof Penderecki.
Winner of numerous competitions and the holder of the prestigious grant from "Yamaha Foundation of Europe", has collaborated with such eminent musicians as: Yuri Bashmet, Julian Rachlin, Ernst Kovacic, Reiner Honeck, Itamar Golan, Michael Ursules, Barry Douglas, Chee-Yun, Michel Lethiec, Frans Helmerson, Arto Noras, Konstanty Andrzej Kulka, Piotr Paleczny, Xavier de Maistre and ensembles like "Prima Vista Quartet", "Silesian Quartet", "Klavierquintett Wien", "Wiener Virtuosen", "Münchner Septet".
Dybał also has a special interest in period performance where he has worked together with ensembles such as La Stagione Frankfurt, Il Tempo Warsaw.