Hapoel Beer Sheva will face Greek champions Olympiacos is they can complete the job and beat Sheriff Tiraspol in the second qualifying round of the Champions League.
Hapoel were forced to come from a goal down to beat Sheriff in Israel this week, with goals from John Ogu, Elyaniv Barda and Maharan Radi earning them a 3-2 victory in the first leg.
Ahead of Tuesday's return match in Moldova, Hapoel boss Barak Bakhar said: "Although they are a strong team, I'm confident we will get through
"We will come prepared for the away game and we won't lose."
Three other Israeli teams discovered their fate in the Europa League third round draw.
Having scored an away goal in their first leg in Kazakhstanagainst FC Kairat Almaty, Maccabi Tel Aviv could face Romanian opposition in the shape of FC Panduri Targu Jiu if they can progress from the second leg at the Municipal Stadium in Netanya.
Betar Jerusalem hold a 1-0 advantage from their home match against Omonia Nicosia. The winner will meet Slovan Bratislava of Slovakia or FK Jelgava of Latvia.
Maccabi Haifa were held 1-1 by Nomme Kalju and face a nervous wait to see if they can set up a clash against Zimbru Chisinau or Osmanlsipor.