Super bantamweight Zimunya died on Monday, having collapsed during a professional non-title bout on Saturday.
Zimunya, 24, took several blows to the head before being knocked out in the third round of a six-round fight.
Lawrence Zimbudzana, the general secretary of the Zimbabwe National Boxing and Wrestling Control Board (ZNBWCB), says that plans for an inquiry are yet to be addressed.
“For now we will focus on the burial, and then we will sit down and look at the issues,” Zimbudzana told BBC Sport Africa at Zimunya’s burial on Wednesday.
A statement from the ZNBWCB said that “all the necessary medical procedures were followed and emergency medical assistance was provided at the venue before he was taken to hospital”.
His former trainer Tatenda Gada was devastated, saying Zimunya “was one for the future.”
“We’ve been robbed of one of our best prospects,” Gada said. “I worked with Taurai for more than four years – I watched him progress and he was one for the future.”