Ku qor sii wadida faqradan - Ka dib xilli ciyaareedkii 2003-04, Modrý wuxuu ka tagay Kings isagoo ah wakiil bilaash ah oo aan xadidnayn wuxuuna la saxiixday Atlanta Thrashers. Wuxuu ku soo laabtay Czech Extraliga wuxuuna u ciyaaray HC Liberec intii lagu jiray xiritaanka 2004-05 NHL. Kadib hal xilli ciyaareed oo keliya Atlanta, Modrý waxaa lagu beddelay Patrik Štefan oo loo beddelay Dallas Stars Niko Kapanen iyo 2006 wareega 7aad ee doorashada. Ka dib markii uu ciyaaray badh ka mid ah xilli ciyaareedkii 2006-07 ee Xiddigaha, Dallas ayaa dib ugu soo celisay Kings iyada oo qayb ka ah heshiiskii ugu dambeeyay ee lagu iibsado saaxiibkii hore ee Kings Mattias Norström. Sannad ka dib xilli ciyaareedkii xigay, Modrý ayaa mar kale ku jiray dhaqaaq markii Kings ay isaga ku beddeleen Philadelphia Flyers 2008
Doorashada wareega sadexaad.