The South Australian side, into the last 16 for the first time in their history, shocked A-League Men club Macarthur 2-1 on Sunday.
The draw delivered some intriguing match ups, including two all-ALM clashes and a tantalising Sydney derby.
Another club qualifying for the round of 16 for the first time, Mt Druitt Town Rangers, will host Victoria's Heidelberg United.
An all-Sydney affair will light up the last 16, as four-time A-League premiers and 2017 Australia Cup winners Sydney FC play away to APIA Leichhardt.
Adelaide-based MetroStars take on Sydney's Inter Lions in their debut Australia Cup final-rounds appearance.
Two A-League Men sides are guaranteed to depart the tournament, which began with 775 clubs.
Melbourne City host Wellington Phoenix for a third straight season, while Western Sydney Wanderers welcome the most successful team in the history of the cup, three-time winners Adelaide United.
Sydney United 58, losers of last year's final to Macarthur, and Gold Coast Knights will have their sights set on an upset as they take on A-League Men sides Brisbane Roar and Western United respectively.
The Australia Cup round of 16 will be played over two weeks in late August with the match schedule to be confirmed and announced on Friday 18.
AUSTRALIA CUP ROUND OF 16
Mt Druitt Town Rangers v Heidelberg United
Melbourne Knights v Campbelltown City
MetroStars v Inter Lions
APIA Leichhardt v Sydney FC
Western Sydney Wanderers v Adelaide United
Sydney United 58 v Brisbane Roar
Gold Coast Knights v Western United
Melbourne City v Wellington Phoenix
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