The Blitzboks made the flawless start to the defence of their HSBC World Sevens Series title by winning the season-opening tournament in Dubai on Saturday.
Points from the first two tournaments of the series will be added to teams' totals in 2016-17 to determine seedings at the Rugby World Cup Sevens in San Francisco next July.
However, Shujaa's defensive frailties were exposed against Series champions South Africa who humiliated them 48-5 in their second match.
South Africa blitzed New Zealand in the first half of the final‚ scoring three tries through Phillip Snyman‚ Seabelo Senatla and Kwagga Smith with Branco du Preez landing two conversions to run into a 19-0 lead at the break. Scott Curry and Andrew Knewstubb got the All Blacks Sevens back into the match, but at 19-12 it was the powerful Tim Agaba who closed the game out.
"There were some pretty sticky performances from us which we knew would be the case with this being our first tournament of the season", said Amor.
New Zealand almost came back in the second half after Rosko Specman was sent to the sin bin.
"It's been a while since we all played together but it's so great to win again in Dubai".
Fiji reduced the arrears to 12-7 when Jerry Tuwai went over for a try, but South Africa held on to reach the final.
After losing to New Zealand in the semifinal, England captain Tom Mitchell, said: "It's tough to take and awful to lose but they seized their chances better than we did".
"It's easy to play well in a team as good as this‚" Smith said.
With just over four minutes left, Joey Ravouvou stormed down the left wing, shrugging off the tackle of winger Dan Norton to score. After an interception in their own half, New Zealand stormed forward through Sam Dickson but he got scragged short.