Mikey Wright is the lone Australian male left in contention while Stephanie Gilmore is well placed to extend her World Surf League lead in Bali.
Gilmore's two-wave score of 11.40 gave her victory over Silvana Lima (9.54) and Keely Andrew (8.50) in their third-round heat on Friday at the Keramas break.
Fellow Australians Sally Fitzgibbons and Tyler Wright also won their three-woman contests to progress to the quarters, with Fitzgibbons' 15.93 - which included a stunning 9.93 barrel ride - the highest total of the morning.
Chasing a seventh world crown, Gilmore already has two wins from three completed events this season, giving her a solid lead over American and fellow quarter-finalist Lakey Peterson. All three will line up in separate heats on Saturday.
Meanwhile, wildcard Wright will fly the Australian flag in the men's quarter-finals after he snatched victory thanks to a 8.20-point ride from his last wave.
The 21-year-old banked a 15.80-point total to pip in-form Griffin Colapinto for top spot, end countryman Adrian Buchan's campaign and join sister Tyler in their respective quarter-finals.
Tahitian Michel Bourez looms large though after he scored a 9.93 ride to claim wave-of-the-day honours.
Conditions permitting, Wright will meet Brazil's Willian Cardoso in Saturday's quarter-finals in what has become a wide-open field with the exits of Queensland's series leader Julian Wilson and defending world champion John John Florence.