After winning the opening round in Dubai, 10 days ago, New Zealand were rocked by injuries, fielding several new players when finishing fourth in the second round in Cape Town.
The beaten finalists in both opening rounds, the United States, lead the competition on 38 points, one point ahead of New Zealand with Fiji two further back, England in fourth on 30 points and South Africa on 29.
New Zealand are drawn with Japan, who they play at 12.36pm on Saturday, followed by Canada at 4.26pm and Spain in the final game of the opening day at 8.36pm.
In Pool A, Fiji are drawn with Australia, Argentina and Wales. Series leaders the United States are drawn with England, Samoa and Tonga in Pool B while South Africa, who beat New Zealand for the bronze medal in Cape Town at the weekend, are in Pool C with Scotland, France and Kenya.
All Blacks Sevens coach Clark Laidlaw said the side were looking forward to playing at home.
"The crowd in Hamilton earlier this year was amazing and we're sure that will be the case next year," he said.
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