And the South of Scotland side will hope to still be in the competition when those from the Scottish Premier League enter at the next stage.

The third remaining junior side, Pollok, who earned a replay with a fine draw away to Third Division outfit Montrose, have the incentive of a short journey to Clyde's Broadwood Stadium should they progress.

Clubs from the Scottish Junior Football Association were given entry to the tournament for the first time this season.

Girven lost narrowly to Third Division side Stranraer, who now host Stirling Albion, in the second round.

But Linlithgow secretary Davie Roy thinks that the progress of the other three junior clubs has justified the decision to allow them entry.

"One or two people were a bit upset about it, but the new format allowed four junior clubs to take part and we are delighted at that," he told BBC Sport.

"To play in the senior cup is something extra special.

"Saturday attracted a big crowd, 1600, and it was a great day for the club and for the town."

Linlithgow, who beat Spartans 4-1 on Saturday, gained entry by winning the Scottish Junior Cup for the second time in five seasons last term.

And Roy, who has been involved with Rose for 48 years, believes that they have a great chance of progressing further.

"Any draw would be difficult, but to be at home is a bonus," he said.

"It was a difficult game on Saturday, but they came strong in the end and won exceptionally well.

"If they play as they can play, I would expect them to get a good result again, but stranger things have happened in the cup before."

Highland League leaders Buckie Thistle, who eased past Nairn County on Saturday, face a difficult trip to Greenock to face Morton.

But the First Division club's manager, Jim McInally, was not taking victory for granted.

"It is a real bonus to be at home, but we will be respectful of Buckie Thistle," he said.

"They are top of their league, have Duncan Shearer as their manager, we know some of their players and we'll have them watched."

Scottish Cup, third round draw

Albion Rovers v East Stirlingshire
Forfar Athletic or Dumbarton v Berwick Rangers
Culter v Huntly
Brechin City v East Fife
Stranraer v Stirling Albion
Clyde v Montrose or Pollok
Cove Rangers v Edinburgh University
Partick Thistle v Ayr United
Threave Rovers v Raith Rovers
Greenock Morton v Buckie Thistle
Linlithgow Rose v Dalbeattie Star
Arbroath v Cowdenbeath
Ross County v Whitehill Welfare
Livingston v Alloa Athletic
Peterhead v Queen of the South
Airdrie United v Queen's Park

Ties to be played on Saturday 24 November.