Rubuta ci gaba don wannan sakin layi - An zaɓi Modrý a matsayin na 179 a cikin zagaye na tara na NHL Entry Draft na 1990
ta hanyar New Jersey Devils. Ya fara buga NHL tare da aljanu a lokacin 1993-94 kakar. Kasuwanci zuwa Ottawa Senators a watan Yulin 1995 ya biyo bayan watanni daga baya a watan Maris 1996 ta hanyar kasuwanci zuwa Los Angeles Kings. Modrý ya fara ganin ƙarin lokacin wasa a cikin NHL kuma daga ƙarshe ya zama NHL na yau da kullun tare da Sarakuna, yana wasa da cikakken lokacinsa na farko a 2000-01. A kakar wasa ta gaba, 2001 <unk> 02, Modrý ya kafa mafi girman aiki a cikin taimako (38) da maki (42) kuma ya taka leda a NHL All-Star Game. Ya zira kwallaye 13 a cikin shekara ta 2002-2003.