Canada responded well with two tries in the first half and by halftime led 12-7.
Australia, who are fourth in the 10-stop competition's standings, topped their group on Saturday with two wins and a draw.
National Rugby team, Shujaa, produced a superb performance in the 6th leg of the HSBC World Rugby Series in Vancouver Canada, collecting 19 points in the process, despite losing 31-12 to Fiji in the finals early Monday morning.
Earlier in the day, Fiji edged South Africa 15-12 and Kenya beat the United States 24-19 in the semi-finals.
Fiji answered with two more tries, this time from Amenoni Nasilasila and Mesulame Kunavula, and, although Kenya replied in the last seconds of the match with a try from Jeffrey Oluoch and a Samuel Oliech conversion, it was not enough to catch their opponents.
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Awaiting Fiji in the quarter-finals are Argentina, runners-up to England in Pool B.
"We are the first team to win two tournaments this year but that will only make the other teams much harder to play against".
Alasio Naduva and Paula Dranisinukula also scored after the break. Kenya, similarly unbeaten in the first two rounds with a 14-7 win over France - Kenya scoring all their points in the second half - and a 43-0, seven try display, over Spain.
"After a disappointing game for us against Kenya in the quarter-final we found ourselves up against New Zealand again", said captain Tom Mitchell.
Three tries in the first seven minutes put New Zealand on the road to victory over the Blitzboks.
The Americans, winners last week in Las Vegas, kept Clark Laidlaw's side tryless in a clinical display, crossing three times themselves in the second half for a 17-0 victory to secure a semifinal matchup against Kenya who upset defending Vancouver champions England 12-0 in the last of the quarterfinals.