On Monday the Constantia businessman took the stand at the Cape High Court in his own defence.
The former Twizza boss is accused of killing his wife in their Constantia home and then setting her car on fire at a train station.
Gill was reported missing on 22 March 2018 after she failed to arrive at Springfield Convent School where she worked as a secretary.
Later that day her charred body was discovered in the boot of her burnt-out BMW at Diep River Train Station.
In his testimony, Packham denied driving Gill’s car on the day she was murdered despite an earlier testimony by patroller Paul Gray who says he saw Packham driving the green BMW and banging the steering wheel.
He also contested the testimony given by his own daughter, Nicola, who told the court last month that on the night before she went missing, her mom was upset as Rob had admitted to having feelings for his former jolmeit.
Instead, he says they argued about a business trip to Johannesburg.
Packham says Gill threatened to call the chief executive of Twizza about the trip, but the next morning he still went car shopping for her.
Asked why his cellphone was off during the time of Gill’s disappearance, he said he wanted to surprise his wife with a new car.
The case continues.