This curse might appear to be the same as that in verse 18 below, which is fulfilled in Mosiah 19:20-21. There we read that King Noah is burned alive by his subjects. This clearly parallels Abinadi's death. However, this does not actually seem to be this particular prophecy, and therefore not the fulfillment.
Notice first of all that it is the faithful who will suffer the pangs of death by fire, not the unfaithful. The language is possibly ambiguous, but the prophecy appears to read that the seed of these wicked people (whether actual or spiritual seed, or both, is not explicitly stated) will cause the faithful to suffer the pangs of death by fire. This event is probably that witnessed by Alma and Amulek, and that is recorded in Alma 14:8.