"He was just punching me and he said 'because I'm telling you now I'm the man, I'm the man'. I thought they were going to kill me. I thought I was going to die."
Timani told the Sydney Morning Herald that he fled the house but was caught in a nearby park. He later jumped out of a car when it stopped at the lights. He then got a taxi and returned to the team hotel.
While hiding in the park, Timani called his brother Sioane in France who was still on the line when he was taken into the car.
"They thought I'd died," Timani said. "He told me he listened for an hour and then my phone [went] off."
Mafi faced a Dunedin court on Monday morning after being charged by New Zealand police over the incident, and was released on bail.
Both players were fined $16,300 (AU$15,000) by the club and are unlikely to play for the Rebels again.
On Tuesday, Melbourne Rebels CEO Baden Stephenson said: "Notwithstanding that both Mafi and Timani were finishing at the Rebels this season and heading overseas to continue their playing careers, it is only appropriate, given the seriousness of the incident, to sanction both players with a significant fine.
"The actions of these two players is totally contrary to our Club's values and has tarnished the excellent work of so many in the club, both on and off the field this season."