West Ham United or Birkirkara have been drawn to face the winners of the second qualifying round tie between Inverness Caledonian Thistle and FC Astra of Romania in the UEFA Europa League third qualifying round.
Friday's draw in Nyon set up the potential all-Britain tie, although the Scottish Cup winners face a tough task to turn their match around having been defeated 1-0 by Astra in Inverness on Thursday.
The Hammers, meanwhile, will take a 1-0 advantage to Malta in their second leg as they aim to take another step towards the group stages.
Should West Ham progress, they have been drawn to play the first leg at home on Thursday 30 July, with the return leg coming seven days later, subject to any reversal of the tie.
Inverness Caledonian Thistle are in their first ever European campaign, having qualified by lifting the Cup last season.
Their Caledonian Stadium holds 7,800 and Kenny Cameron's men will be aiming for another strong season having finished third last term.
Astra, meanwhile, are based in Giurgiu, southern Romania and earned their place in the competition by finishing fourth domestically last term.
They were known as Astra Ploiesti before moving to Giurgiu three years ago and enjoyed their best season in 2013/14, when they were Romanian runners up.