Damien Richardson's team shocked the Scots with a superb goal in the 12th minute. Mark Rutherford, a former Birmingham City striker, picked up a loose ball from a corner and cracked a fierce left-foot drive past Dragoje Lekovic.
Alan Gough, the Irish side's goalkeeper, kept Killie at bay and Des Baker, a former Manchester United trainee, nearly doubled their lead just after the break, but shot too close to Lekovic.
The former Queen's Park Rangers striker, Paul Wright, equalised from the penalty spot in the 65th minute and then snatched a last-minute winner to earn Killie a lucky 2-1 win.
Mark Parfitt, with a penalty, and Richard Townsend scored two late goals for Cwmbran, the Welsh Cup holders, in their 5-2 home defeat to National Bucharest, while Tony Grant's goal earned Northern Ireland's Glenavon a 1-1 home draw against Legia Warsaw.Reuse content