Seeded in the second level after reaching the group stage of European competition in four of the past five seasons, Maccabi find themselves in Group A with tough Spaniards Villareal, Kazakhstan champions Astana and Slavia Prague of the Czech Republic.
Maccabi manager Jordi Cruyff said: "I think it's a difficult group. We were expecting at least one team that we could feel sure of taking points from but it hasn't happened.
"We want to do well in Europe but our first priority is to win the Israeli league title."
Seeded in the third level Hapoel, received an easier draw in Group G with Czech side Plzen, Steaua Bucharest from Romania and Lugano from Switzerland.
