Caley Thistle face an all-Championship tie away to Arbroath in the third round of the SPFL Trust Trophy.
Inverness, who won the competition on two separate occasions and were joint-winners with Raith Rovers in 2020, were among 10 second-tier sides to enter the competition.
Cove Rangers, who reached the semi-finals in 2022, have been handed a home tie against fellow League One outfit Montrose.
Peterhead, finalists in 2016, will make the trip to Annan Athletic.
The ties will be played on the weekend of September 9/10.
Full draw for SPFL Trust Trophy Third Round:
Coleraine v Hamilton Accies
Raith Rovers v Cliftonville
Bala Town v Queen’s Park
Hibernian B v The New Saints
Edinburgh City v East Kilbride
Annan Athletic v Peterhead
Cove Rangers v Montrose
East Fife v Albion Rovers
Rangers B v Alloa Athletic
Dumbarton v Kelty Hearts
University of Stirling v Airdrieonians
Morton v Elgin City
Dundee United v Dunfermline
Arbroath v Caley Thistle
Partick Thistle v Queen of the South
Ayr United v Falkirk
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SPFL Trust Trophy third round draw: Caley Thistle drawn away to Arbroath in all-Championship tie
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