The match settled unfinished business between the two sides after they finished first and second without playing each other in the recent two-round Nations Cup tournament, also involving Samoa and Georgia.
But ill discipline proved costly as Takulua slotted two penalties, Fiji went down to 14-men when Vereniki Goneva was yellow carded and Faleafa crossed for his try.
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Immediately after the start of the second half, Tonga pulled away again when Castres lock Sitiveni Mafi scored.
Goneva’s try saw him equal the long-standing Fiji record of 20 Test tries set by Sanivalati Laulau who retired 33 years ago.
But it also proved the catalyst for Tonga’s late 13-point charge to take the game.
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