Gabriella Engels and her lawyers sought to persuade the North Gauteng High Court to allow them to proceed with their effort to have Mugabe's diplomatic immunity lifted.
Engels, 20, claims that Mugabe beat her repeatedly with an electrical cord in a Johannesburg hotel on August 13.
A public spat followed in which Engels and critics of President Robert Mugabe sought to have Grace arrested, charged and brought to court.
But South African authorities controversially granted Mugabe diplomatic immunity and she left the country.
"We know it is going to be a big fight but we are ready for the fight and we do believe justice will prevail in this case," said Gabriella Engels' mother Debbie.
"She is better. She is trying to pick up the pieces of her life and carry on with her life."
AfriForum, a lobby group that typically supports white workers in South Africa, said that Mugabe was not in the country on official business and so did not meet the conditions for immunity.
"That is defined in international law as a grave crime (assault with the intention to cause grievous body harm).
"It is a serious crime. That is not the kind of crime you could qualify for immunity."
Lawyers for Zimbabwe's embassy in South Africa argued on a technicality that Engels' team had not followed the law in bringing their bid.
"If we allow this application, we make a precedent. You cannot serve papers on a spouse at her husband's work address," said lawyer Simba Chitango.
AfriForum accused the Zimbabwean side of trying to delay proceedings.
After three hours of hearings, the court reserved judgement. The case continues and could take many months to conclude.
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