The first round - 50 ties - resulting in 50 winners joining 16 teams in Round 2
The 33 winners join 25 teams (including Everton) in Round 3.
The 1st Round was drawn with 50 seeds playing 50 non-seeds, the winners assume the ranking of the seed for the next 2 rounds as the draw has been made in advance of earlier round completed.
What matters for Everton is:
1. We are assured of seeding in Rd 3. Ranked 13th of 58
2. The projected seedings for Round 3 will be more easily assessed once Round 1 has been completed, next week - then the Round 2 ties will be known and it will be possible to see how many of the 33 winners from Round 2 will become seeded in Round 3 (our round) and unseeded. I could give you a lot of either/or scenarios.
3. We cannot play:
(already qualified)
Zenit St. Petersburg, PAOK Thessaloniki Gre, FK Krasnodar Rus, Panathinaikos Gre, Athletic Bilbao Esp, AA Gent Bel, Girondins Bordeaux Fra, Austria Wien Aut, Maritimo Funchal Por, Sporting Braga Por, FC Sion Sui, Fenerbahçe Tur, PSV Eindhoven Ned, Olympique Marseille Fra, SC Freiburg Ger, Sparta Praha Cze, AC Milan Ita, Dinamo Zagreb Cro, Lech Poznan Pol
Also we cannot play:
These teams starting in Round 2 (or any team they might lose to):
Mladá Boleslav Cze, Galatasaray Tur, Astra Giurgiu Rom, Hajduk Split Cro, Apollon Limassol Cyp
Nor any of these teams starting in Round 1 (but, if they lose (in Round 1 only) we could face the team that beats them):
FC Midtjylland, HJK Helsinki Fin, Maccabi Tel-Aviv Isr, Dinamo Minsk Bls
So - the list of teams we COULD play is as follows:
Joining in Round 3:
KV Oostende Bel, Arka Gdynia Pol, Dinamo Bucuresti Rom, Universitatea Craiova Rom, FC Oleksandriya Ukr, Olimpik Donetsk Ukr
Winning through from Rounds 1 and 2 - this is the 2nd Round draw:
Not the teams I mentioned above - or their opponents
Östersund (SWE) v Galatasaray (TUR)
Maccabi Tel-Aviv (ISR) or Tirana (ALB) v KR Reykjavík (ISL) or SJK Seinäjoki (FIN)
Zirä (AZE) or Differdange (LUX) v Astra Giurgiu (ROU)
Ferencváros (HUN) or Jelgava (LVA) v Midtjylland (DEN) or Derry City (IRL)
Hajduk Split (CRO) v Levski Sofia (BUL) or Sutjeska (MNE)
Tre Penne (SMR) or Rabotnicki (MKD) v Dinamo Minsk (BLR) or NSÍ Runavík (FRO)
Haugesund (NOR) or Coleraine (NIR) v Lech Poznań (POL) or Pelister (MKD)
Apollon Limassol (CYP) v Zaria Balti (MDA) or FK Sarajevo (BIH)
Shkëndija (MKD) or Dacia Chisinau (MDA) v Connah's Quay Nomads (WAL) or HJK Helsinki (FIN)
Stjarnan (ISL) or Shamrock Rovers (IRL) v Mladá Boleslav (CZE)
So, the winners of these ties MIGHT be unseeded.. the higher up this list the more likely to become seeded for Round 3:
You can see that the teams you asked about are projected to (possibly be seeded) - will know a lot more after the first round is complete.
Željezničar (BIH) or Zeta (MNE) v KÍ Klaksvík (FRO) or AIK (SWE)
UE Santa Coloma (AND) or Osijek (CRO) v Luzern (SUI)
Vojvodina (SRB) or Ružomberok (SVK) v Brann (NOR)
Brøndby (DEN) v VPS Vaasa (FIN) or Olimpija Ljubljana (SVN)
Nõmme Kalju (EST) or B36 Tórshavn (FRO) v Videoton (HUN) or Balzan (MLT)
Rangers (SCO) or Progrès Niederkorn (LUX) v St Joseph's (GIB) or AEL Limassol (CYP)
Gabala (AZE) v Dinamo Batumi (GEO) or Jagiellonia Białystok (POL)
Crusaders (NIR) or Liepāja (LVA) v Shakhtyor Soligorsk (BLR) or Sūduva (LTU)
Pyunik (ARM) or Slovan Bratislava (SVK) v Lyngby (DEN) or Bangor City (WAL)
Irtysh Pavlodar (KAZ) or Dunav Ruse (BUL) v Crvena Zvezda (SRB) or Floriana (MLT)
Trenčín (SVK) or Torpedo Kutaisi (GEO) v Bnei Yehuda Tel-Aviv (ISR)
Kairat Almaty (KAZ) or Atlantas (LTU) v Skënderbeu (ALB) or Sant Julià (AND)
Aberdeen (SCO) v Široki Brijeg (BIH) or Ordabasy (KAZ)
Valletta (MLT) or Folgore (SMR) v Utrecht (NED)
Chikhura Sachkhere (GEO) or Altach (AUT) v Dinamo Brest (BLR)
Sturm Graz (AUT) v Mladost Podgorica (MNE) or Gandzasar-Kapan (ARM)
IFK Norrköping (SWE) or Prishtina (KOS) v St Johnstone (SCO) or Trakai (LTU)
AEK Larnaca (CYP) or Lincoln (GIB) v Levadia Tallinn (EST) or Cork City (IRL)
Mladost Lučani (SRB) or İnter Baku (AZE) v Fola Esch (LUX) or Milsami Orhei (MDA)
Partizani (ALB) or Botev Plovdiv (BUL) v Beitar Jerusalem (ISR) or Vasas (HUN)
Ventspils (LVA) or Valur Reykjavík (ISL) v Domžale (SVN) or Flora Tallinn (EST)
Bala Town (WAL) or Vaduz (LIE) v Odd (NOR) or Ballymena United (NIR)
Panionios (GRE) v Shirak (ARM) or Gorica (SVN)