Hapoel Kiryat Shmona tumbled out of the Europa League on Thursday night - meaning there will be no Israeli team in he next stage.
The Israeli Cup winners failed to overturn a 2-1 first leg deficit as they were well beaten by Liberec on their home patch.
Hapoel were up against it from the 37th minute, once David Pavelka had give Lierec a crucial away goal.
Josef Šural doubled Liberec's advantage on the stroke of half-time and there was no way back for Hapoel.
The Slovaks were superior from start to finish at the , with Marek Bakos clinching a 5-1 aggregate win at the Netanya Municipal Stadium.
Maccabi Tel Aviv are the only Israeli team to have bypassed the qualifying stages in Europe. They are in the hat for tomorrow's Champions League playoff round draw.
