The home side led 12-9 at halftime at Churchill Park off the back of tries to Apisalome Boginidrau and Poniani Batiniu.
But five penalties from the boot of Nautu'a Masima kept the Kingdom in the game.
Tonga regained the lead in the 62nd minute but Tuidraki Samusamuvodre drew the Fijians level seven minute later in what proved to be the final scoring play.
Tonga Coach Ta'one Bloomfield said that they were aiming to win but a draw was a good result.
"We'll still need to work on Saturday's game and hopefully we will come with a good result."
