CELTIC will begin their defence of the Premier Sports Cup with a trip to take on Ross County in the Highlands.
Ange Postecoglou's side were drawn as the away side in the final tie out of the hat for the second round.
Meanwhile, Glasgow rivals Rangers were the first club drawn as they play Queen of the South at Ibrox next month.
The Premier Sports Cup second round draw also offered two all top-flight ties with Hearts to play Kilmarnock and Dundee United travelling to Livingston.
Elsewhere Championship clubs Partick Thistle and Arbroath will face off in the second round.
Motherwell have been handed a home draw as they enter the competition with Inverness tasked with a trip to Fir Park.
Dundee - who went flawless in the group stage - will play Falkirk at home in the next round.
And League Two side Annan will take on Aberdeen at Galabank in the second round after a seriously impressive group stage showing.
Premier Sports Cup second round draw in full
Rangers vs Queen of the South
Partick Thistle vs Arbroath
Motherwell vs Inverness
Livingston vs Dundee United
Dundee vs Falkirk
Annan vs Aberdeen
Hearts vs Kilmarnock
Ross County vs Celtic
