Fiji topped their group following wins over Australia, Wales and Russia.
Samoa finished second to New Zealand in their group, going down to the All Blacks Sevens 24-12, in their only loss in pool play.
In the quarter-finals Fiji will play Scotland, Samoa will play South Africa, New Zealand will play Kenya and England will play Australia.
Meanwhile the Fiji women beat Japan 17-15 in their last game to finish 11th overall.
Photo Instagram. Caption: Alatasi Tupou