Celtic will host Ferencvaros of Hungary or Djurgarden of Sweden in the Champions League second qualifying round if they defeat KR Reykjavik.
And Scotland's representatives in the Europa League's first qualifying round will both face British opposition or sides from the Faroe Islands.
Aberdeen will be at home to NSI Runavik or Barry Town United of Wales, while Motherwell will host either Northern Ireland's Glentoran or HB Torshavn.
All games will be behind closed doors.
And the Scottish teams will be permitted to stage the matches at their home ground. A Covid-19 travel corridor exists with each potential opponent's home country except Sweden but Djurgarden can travel to Scotland in the event that they meet Celtic.
KR of Iceland have told BBC Scotland they see no problem in travelling to Glasgow for the first-round tie on 18 August.
That is despite Icelandic football having been suspended at the end of last month because of a spike in Covid-19 cases.
The second qualifying round tie is scheduled for 25/26 August.
Ferencvaros won the Hungarian top flight for a 31st time after finishing 13 points ahead of Fehervar last season.
Djurgarden, meanwhile, edged out Malmo by a point to win their domestic title for a 12th time but sit fourth and trail their rivals by eight points in the 2020 standings.
Aberdeen and Motherwell will play their ties on 27 August.
Runavik finished third in last season's Faroe Islands Premier League and currently lie fourth, while Torshavn lead the table this term after finishing fourth in 2019.
Glentoran were fifth in their Premiership, while Barry Town were fourth in the Welsh Premier League.
Scotland's fourth European representatives, Rangers, will join the Europa League in the second round.
Champions League second qualifying round
Celtic/KR Reykjavik (Iceland) v Ferencvaros (Hungary)/Djurgarden (Sweden)
Europa League first qualifying round
Aberdeen v NSI Runavik (Faroe Islands) or Barry Town United (Wales)
Motherwell v Glentoran (Northern Ireland) or HB Torshavn (Faroe Islands)