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Celtic and Rangers will both host Roma in the Europa League following Friday's league phase draw.
Rangers meet two Portuguese sides, with a trip to Porto and Braga coming to Ibrox.
Celtic have visits to Feyenoord and Bologna among their eight matches, while Braga will have a second visit to Glasgow.
Fixture dates are expected to be confirmed over the weekend.
Both Glasgow clubs started in Champions League qualifying, with Celtic losing out to Kairat in the play-off round and Rangers beaten by Club Brugge after wins over Panathinaikos and Viktoria Plzen.
Rangers got to the Europa League final in 2022 and reached the quarter finals last season where they lost to Athletic Bilbao.
Celtic's most recent involvement in Uefa's second tier tournament came in season 2021-22 when they finished behind Bayer Leverkusen and Real Betis in their group.
Celtic fixtures
Roma (home)
Feyenoord (away)
Braga (home)
Red Star Belgrade (away)
Sturm Graz (home)
Midtjjylland (away)
Utrecht (home)
Bologna (away)
Rangers fixtures
Roma (home)
Porto (away)
Braga (home)
Ferencvaros (away)
Ludogorets (home)
Sturm Graz (away)
Genk (home)
Brann (away)