Hearts will face a repeat of last year's Scottish League Cup semi-final after being drawn against Inverness at the same stage of this year's competition.
In the other semi-final, the draw - conducted by former Scotland manager Craig Levein and SPFL Secretary Iain Blair at Hampden - paired Aberdeen against St Johnstone.
Gary Locke's Jambos defeated city rivals Hibernian 1-0 at Easter Road with Ryan Stevenson's winner on Wednesday night as they moved into the last four of the tournament.
Their reward is a rematch with Terry Butcher's Highlanders, who they beat 5-4 on penalties in neutral Leith last January before losing to St Mirren in the Hampden final.
Caley Thistle over came Dundee United with an 2-1 extra-time success on Tuesday night, while the Dons still overcame Motherwell with a 2-0 win despite seeing Joe Shaughnessy sent-off the following night.
Their Perth opponents clinched their spot in the semis by beating Championship side Morton with Gary McDonald's controversial injury-time winner.
The semi-final ties will be played on the weekend of February 1 and 2, at venue which have yet to be confirmed. The final is scheduled for Sunday, March 16.