On the final day of the Championship, the Pukpuks won the quarter final this morning against Cook Islands 19-7.
They advanced to meet Australia who beat them 36-0 in the semi-final.
The Pukpuks then faced off in the afternoon in the third and fourth play-off going down to Samoa 54-0.
Australia beat Tonga 50-0 to automatically qualify for the 2016 Olympic Games sevens tournament in Rio de Janeiro.
Tonga and Samoa who finished second and third respectively still have another chance to play in the Rio Olympics having received invitations to another qualifying tournament to be held next year.