Rubuta ci gaba don wannan sakin layi - Bayan kakar 2003/04, Modrý ya bar Sarakuna a matsayin mai kyauta mara izini kuma ya sanya hannu tare da Atlanta Thrashers. Ya koma Czech Extraliga kuma ya buga wa HC Liberec a lokacin kulle-kulle na NHL na 2004-05. Bayan kakar wasa daya kawai tare da Atlanta, an yi musayar Modrý tare da Patrik Štefan zuwa Dallas Stars don Niko Kapanen da kuma 2006
Zaɓin zagaye na bakwai. Bayan ya buga rabin kakar 2006-07 tare da Taurari, Dallas ta sake tura shi zuwa Sarakuna a matsayin wani ɓangare na yarjejeniyar ranar ƙarshe don sayen tsohon abokin wasan Kings Mattias Norström. Bayan shekara guda a lokacin kakar wasa ta gaba, Modrý ya sake motsawa yayin da Sarakuna suka canza shi zuwa Philadelphia Flyers don zaɓar zagaye na 3 na 2008.