Neil Lennon’s side face the Romanians in the first leg away from home on Wednesday.
Slavia qualified directly to the Champions League play-off stage after winning their domestic title for a fifth time.
The side managed Jindrich Trpisovsky, who finished four points clear of Viktoria Plzen, completed a domestic league and cup double by defeating Banik Ostrava 2-0.
Meanwhile, last season’s beaten semi-finalists, Ajax, will face APOEL of Cyprus or Qarabag of Azerbaijan if the Dutch side overcome PAOK of Greece.
If Red Star Belgrade, who won the trophy in 1991, defeat Denmark’s Copenhagen, they will next take on Young Boys of Switzerland.
Porto, the 1987 winners who qualified as runners-up in Portugal, will take on Istanbul Basaksehir of Turkey or Olympiakos of Greece if they defeat Russian side Krasnodar.
Champions League play-off round draw
Dinamo (Croatia) or Ferencvaros (Hungary) v Maribor (Slovenia) or Rosenborg (Norway)
APOEL (Cyprus) or Qarabag (Azerbaijan) v PAOK (Greece) or Ajax (Netherlands)
Basel (Switzerland) or LASK (Austria) v Bruges (Belgium) or Dinamo Kiev (Ukraine)
Istanbul Basaksehir (Turkey) or Olympiakos (Greece) v Krasnodar (Russia) or Porto (Portugal)
Matches to be played on 20/21 and 27/28 August