It is understood Mallard was advised to apologise.
The statement said that Mallard had provided a personal apology to the individual and both parties consider this matter is now closed.
The details of who covered the legal bills and whether a settlement was made between the two won't ever be known, political editor Barry Soper told Newstalk ZB this afternoon.
"What was involved in the settlement to this man, not only being humiliated but he'd been drummed out of Parliament?" Soper said on Heather Du Plessis-Allan Drive this evening.
"We won't know because we can't go under the Official Information Act and enquire about parliamentary services. They are the only government department that is outside of the OIA. So we won't know if there is a settlement or if he paid this man's legal bills."
When pressed on who, most likely, covered the legal bills, Soper speculated: "Us as taxpayers, I would imagine.
"He made the statement, even though it was outside the house, he made it in his role as Speaker of the House. This is an open and transparent Government and but we're not going to the know the answers."
How the saga unfolded
In June last year, Mallard said that he believed a rapist was working in the parliamentary precinct a day after the Francis review of the parliamentary workplace was released.
The report found systemic issues of bullying and harassment, poor conduct too often tolerated and normalised, and a perception of low accountability. Mallard himself commissioned the report after a series of cases of bad behaviour.
Mallard had said that he believed a man was responsible for three serious sexual assaults mentioned in the review, and that he believed the man was still working at Parliament.
His comments - called shocking by some parliamentary workers - sparked a series of turbulent events that led to a historical assault complaint and a parliamentary staffer being stood down.
Mallard then said that a threat to safety had been removed from the premises.
The staffer then lashed out at Mallard, saying he felt bullied out of the workplace and was the victim of Mallard's "slanderous" comments.
After Mallard made the comments, the man - who had been stood down from Parliament - told Newstalk ZB he felt bullied out of the building.
He said at the time he wanted an apology for what he described as the Speaker's "slanderous" comments.
The man claimed the three allegations were related to hugging a colleague, complimenting another colleague on her hair, and kissing another on her cheek as he said goodbye to her after she visited him and his wife for tea.
However, the first complainant alleged he hugged her from behind, pushing his groin up against her, and that he was staring at the breasts of the woman who's hair he complimented.
He believes the third complainant was put up to lodging the complaint by someone else.
The man was investigated by Parliamentary Services, which found the claims were unsubstantiated.