The club can now confirm its travel arrangements to Reykjavik for the second leg of the tie on Thursday 24 July but before then the Icelanders will be at Fir Park on Thursday 17 July.
The City manager described Stjarnan as "an excellent side and technically very good and they've got a lot of foreign players in their team as well". They are almost halfway though their domestic season and in good form, still unbeaten after 10 games with 6 wins and 4 draws.
Stuart McCall was in the 805 strong crowd to watch the game at the Nantporth ground. The home team held out until the 52 minute before Rauschenberg scored with a long range effort. Bjorgvinsson added as second 15 minutes later and a third with 10 minutes remaining. Johannsson added to Bangor's misery to complete the 4-0 victory.
Motherwell are the seeded team for the tie and have far more experience of European football than Stjarnan but Stuart McCall knows that we face a stiff test if our interest in the competition is to stretch to August. He'll need to see us score a first euro goal under his charge next week - the last 'Well goal in Europe was Tom Hateley's in Odense in 2010.
Tickets for next Thursday's game are on sale from the Fir Park ticket office priced at £25 for adults, £15 concession, £10 juvenile. Family tickets are also available.