The fact that for long spells in this cup tie it was impossible to tell the SPL side from their third division opponents, says it all about a spirited, if ultimately fruitless, Peterhead display.
A sound defensive performance and plenty of creativity were the plus points although, once again, the lack of a killer touch in front of goal was their downfall.
The Blue Toon line-up saw Robbie Winters start ahead of Brian Deasley from the side that lost to East Fife while an injury-ravaged Dundee were forced to name manager Barry Smith on the bench.
The Blue Toon went close in the 20th minute. A free kick from Scott McLaughlin was heading towards the top corner until Rab Douglas shimmied across goal to claw the ball clear.
At the other end it was Paul Jarvie to the rescue, tipping over a bicycle kick from centre half Neil McGregor.
The second half belonged to Peterhead and they had the chances to put a disappointing Dundee to the sword.
The first period of extra time saw just the one genuine chance, former Balmoor loanee Graham Webster chansing a fine through ball before stretching to send a shot past Jarvie but agonisingly beyond the far post.
The second 15 minutes were dominated by the home side who showed no signs of tiring against their full-time, and it has to be said, far from top flight calibre, opponents.
In the 112th minute the tie should have seen its first goal when a McAllister overhead kick fell to Deasley but he couldn’t keep his header down and a great chance went begging.
Whether the tiredness finally caught up with the part timer’s legs or whether spot kicks simply hadn’t been practised but the shoot-out was damp squib as far as the Blue Toon were concerned.
PETERHEAD: Jarvie, Sharp, Noble, Scott Ross, MacDonald, Cowie (McBain 94), Strachan, Redman (McGuire 103), McAllister, Winters (Deasley 69), McLaughlin. Subs (not used): Knowles, Kelly.