Mr Trewavas said he and Mr Sinclair were working with Bay of Plenty road policing manager Inspector Kevin Taylor to "get to the bottom of what happened here".
"There was no official outcome of the meeting, it's more about us exploring ways to make our roads safer for all motorists."
The city leaders' meeting coincided with police releasing the crash victims' names. They were Michael Harley Soo, 23, David James Hills, 22, and Jessie Nicholson, 23. All were from the Manawatu.
The Atiamuri crash was just one of five lethal crashes over the weekend which brought this year's road toll to at least 303, compared with 271 at the same time last year.
The crash was described by rescuers as "horrific".
The collision - on a stretch of road with a temporary 30km limit after two other crashes there in the slippery conditions - left the red Toyota unrecognisable and crushed beneath the front of the truck.
Fire Service executive Hamish Smith said the woman was still alive when crews arrived, but died as they tried to free her from the wreck.
"It would be one of the more horrific and serious accidents that the staff would have dealt with in the last 12 months."