England will face Argentina in the Cup quarter-finals at the HSBC World Rugby Sevens series in Sydney after finishing second in Pool C.
New Zealand had trailed 14-5 with halftime approaching but a converted try to Regan Ware cut Fiji's lead to 14-12 at the break.
A double knock-on ended Scotland's chances and the Aussies hung on, securing top spot in Pool D and a Cup quarter-final against New Zealand.
Charlotte Caslick continued her brilliant tournament when she slid through a gap to score Australia's first on the minute mark.
New Zealand and Australia have been the two dominant sides in Sydney, tallying 174-19 and 182-0 scorelines respectively across their five games so far. First hosts Australia beat Scotland in a cliffhanger, after being reduced to 6 men for the last few seconds, and qualified as Pool winners with three wins. South Africa beat England 33-12 in its final match Saturday to finish atop Pool C while Argentina topped Pool B with narrow wins over Kenya, 7-5, Wales, 28-21, and France, 19-12.
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On the other side, it was a No.3 who was keen to show he belonged after falling cheaply in the first two Test matches. Experienced batsman Hashim Amla was the highest scorer for the hosts with a fighting 61 off 121 balls.
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New Zealand advanced to the decider with an equally impressive 26-0 win over Canada in today's second semi-final.
Trans-Tasman rivals Australia and New Zealand will also meet Sunday in the women's final after steering unbeaten paths through the tournament's pool and knockout rounds.
Australia has blazed its way into this afternoon's semi-final against Russian Federation without conceding a point while Cherry and Friedrichs have helped themselves to a combined total of five tries in the preliminary matches. Australia's tough defense forced an early turnover and Emilee Cherry crossed in the left corner for Australia's first try.
Coach Tim Walsh pointed to that campaign, where Australia entered as world champions and clear favourites, as evidence they could handle the pressure in front of what is tipped to be a lively home crowd at Alliance Stadium. "Here in Sydney we are focused on the basics because we know we can punish teams if we play to our game plan".
Kelly Brazier and Michaela Blyde scored second half tries and Tyla Nathan-Wong kicked three of four conversions.