Liverpool will face either FK Renova from Macedonia or FC Gomel of Belarus in the Europa League third qualifying round.
Belarus outfit Gomel lead Macedonian side FK Renova 2-0 from their first leg and will be hoping to maintain their advantage in the second leg to set up a glamour tie with Liverpool.
The Reds qualified for the Europa League after winning last season's Carling Cup.
The matches are scheduled to be played on August 2nd and 9th with the second leg expected to be at Anfield.
Dundee United have been handed a tricky tie against Russian side Dynamo Moscow as they look to reach the group stages of the Europa League.
St Johnstone have been handed an incentive to overcome their first-leg defeat to Eskesehirspor with the winners handed a tie with French giants Marseille.
Irish side St Patrick's Athletic could also face a well-known European club in the third qualifying round.
A tie against Hannover is on offer for the winner of the second round match between St Pat's and Siroki Brijeg of Bosnia and Herzegovina, with the scores level at 1-1 following the first leg.
Fellow Irish outfit Sligo Rovers will have to overcome a 3-1 first leg defeat to Slovakian side Spartak Trnava to advance to a tie with Steaua Bucharest.
Northern Ireland side Portadown were drawn opposite last year's beaten finalists Athletic Bilbao.
However, they are unlikely to meet the Spanish side due to a 6-0 defeat against Slaven Belupo of Croatia in their second qualifying round first leg on Thursday.