"The country from where you come must request that you go back to the country so that they can deal with the matter", he explained.
Police Minister Fikile Mbalula however had earlier confirmed that Ms Mugabe had handed herself over to the South African Police Service (SAPS) and was to appear in the Wynberg Magistrate's court at 13h00 today.
Hotel staff then escorted Engels from the hotel and she visited the Sandton police station to lay an assault charge, but an officer recommended she first seek medical attention.
It was not clear Tuesday night whether Mugabe was still in South Africa or had returned to Zimbabwe. "We do not know her whereabouts at this stage", police spokesman Vishnu Naidoo said on Tuesday. "I'm a model and I make my money based on my looks‚" she said.
Engels said she was hanging out with Mugabe's sons, Robert and Chatunga, whom she met through a mutual friend Saturday when a bodyguard asked her and a pal to wait in a different room.
"I can not just go to Zimbabwe and beat up people there and then the matter will disappear". Over and over. I had no idea what was going on.
'One of my friends managed to run away, but me and my other friend were just pinned up against the side of the room, I was on my knees and she beat me until blood was running down my face, I could taste it. Many shared the example from last week when Mduduzi Manana, a South African deputy minister, was freed on $375 bail after allegedly assaulting a woman at a nightclub.
She has taken on a larger public role in recent years, speaking regularly at meetings to drum up support for her husband and heading the women's league of the ruling ZANU-PF party.
They study at the University of Johannesburg.
Mugabe's reputation precedes her, too.
Mugabe was in South Africa to have her foot examined following an accident at the Harare global airport.
Grace has admitted having trouble reining in her two troublesome children who live a fast life despite coming from one of the poorest African countries. "She has been forced to deny rumours that she has been unfaithful to the president and defends herself against accusations that she is pampered and lazy".
Meanwhile President Mugabe has confirmed the attempted murder incident.
She opened a case of assault against the 52-year-old Mugabe on Monday afternoon.