City Police Chief ACP Jauteh Dikun on Thursday said they will record a statement from her before deciding on the next course of action.
Making false claims in a police report is an offence under Section 192 of the Penal Code which provides for a penalty of up to three years' jail and also a fine.
The woman, in her 20s, had a day earlier confessed that she actually made up the whole thing, adding that she had no intention of having the incident published in the newspapers.
She made the confession during a media conference at Suria Sabah attended by the mall's management and Democratic Action Party (DAP) committee led by its Likas Assemblyman Junz Wong.
She claimed that her friend, who is involved in the opposition DAP Youth, had uploaded the photos of her wounded on Facebook without her knowledge.
The mall's management in response stated that the closed circuit camera television at their mall had failed to show any footage of a bleeding woman exiting the mall during the alleged incident.
The woman lodged a police report on the alleged robbery-cum-assault on Jan 7 after being persuaded to do so by Wong.
Meanwhile, the Sabah Progressive Party (SAPP) ridiculed Junz for turning a private family matter into a public embarrassment in his quest to be a hero.
Its Supreme Council member Chia Miu Lee said Wong craftily tried to rewrite the events of the last two weeks to cover up his blunder in the fake "Suria girl attack".
"When his attempt to take credit backfired, he irresponsibly blamed the girl for the blunder," said Chia, whose views were shared by social activist Mary Siah, SAPP Mudanita Wenddy Gaimin and Rafidah Sarigan.
"It is obscenely irresponsible for the DAP Assistant Secretary to manipulate the girl to feel guilty by having to 'apologise to everyone especially Suria Sabah' when it is Wong who is the guilty one.
"First, it was Wong who posted on social media photos of a deeply cut thigh and hand with stitches without the consent or knowledge of the girl.
"He had described in detail in his 'KK Shocking news' of a young girl being attacked by an illegal immigrant who was scared off by a couple who came out of a toilet.
"He had called on Suria to 'rise up their security level', adding that the girl refused to named. When in fact the girl had said nothing, except maybe to her family only.
"After Suria had conducted its investigation and issued a denial, Wong tried to cover up his own lie with another lie - this time by seeking out the girl (who he knew refused to be named) and physically escorting her to make a police report "after much persuasion from Wong".
"Wong made this scared girl unwittingly commit an offence of lodging a false report which is a crime. Wong and an assistant then posed for a nice photo with thumbs up announcing that 'it did really happen at Suria Sabah basement yesterday'.
"If he had not recklessly posted the fake photos and story (of the attack at Suria), then none of this matter would have gone public and if he had not made the girl go through the trauma of repeating her story in a police station, then a normal family would have been spared the anguish.
"The reason Wong made the girl lodge a report was to cover up his own mistake and earlier lies in the social media," she said.