Found the playoff round that had Burnley in it - this was after the qualifying rounds and before the group stages, and was unseeded.
Champions Path
Olimpija Ljubljana (SVN) - HJK (FIN)
v
Crvena zvezda (SRB)/Spartak Trnava (SVK)
H. Beer-Sheva (ISR) - APOEL (CYP)
v
Astana (KAZ) - Dinamo Zagreb (CRO)
Cork (IRL) - Rosenborg (NOR)
v
Salzburg (AUT) - Shkëndija (MKD)
Legia (POL) - Dudelange (LUX)
v
Alashkert (ARM) - CFR Cluj (ROU)
Spartaks Jurmala (LVA) - Suduva (LTU)
v
Celtic (SCO) - AEK (GRE)
Sheriff (MDA) - Valur (ISL)
v
Qarabag (AZE) - BATE (BLR)
Malmö (SWE) - Vidi (HUN)
v
TNS (WAL) - Midtjylland (DEN)
Torpedo Kutaisi (GEO) - Kukës (ALB)
v
Ludogorets (BUL) - Zrinjski (BIH)
Main Path
Sigma (CZE) - Kairat (KAZ)
v
Sevilla (ESP) - Žalgiris (LTU)
Sarpsborg (NOR) - Rijeka (CRO)
v
Pyunik (ARM) - M. Tel-Aviv (ISR)
Jagiellonia (POL) - Gent (BEL)
v
Mariupol (UKR) - Bordeaux (FRA)
Nordsjælland (DEN) - Partizan (SRB)
v
Besiktas (TUR) - LASK (AUT)
Slovan Bratislava (SVK) - Rapid W. (AUT)
v
Hajduk Split (CRO) - FCSB (ROU)
Apollon (CYP) - Dinamo Brest (BLR)
v
Vitesse (NED) - Basel (SUI)
Rangers (SCO) - Maribor (SVN)
v
Ufa (RUS) - Progrès (LUX)
H. Haifa (ISR) - Atalanta (ITA)
v
CSKA-Sofia (BUL) - København (DEN)
Dinamo Minsk (BLR) - Zenit (RUS)
v
Hibernian (SCO) - Molde (NOR)
Trencín (SVK) - Feyenoord (NED)
v
Sturm (AUT) - AEK Larnaca (CYP)
Genk (BEL) - Lech (POL)
v
Spartak Subotica (SRB) - Brøndby (DEN)
Olympiacos (GRE) - Luzern (SUI)
v
Istanbul Basaksehir (TUR)-Burnley (ENG)
Zorya (UKR) - Braga (POR)
v
Leipzig (GER) - U. Craiova (ROU)
Some decent sides there - would want to avoid Sevilla and Leipzig, and probably ideally not get Celtic or Zenit, but there’s nothing seriously scary in that lot. I know there will be different teams this season but I liked to see the standard we’d likely be against