"We tried to say that there is structural discrimination ...But (Justice Minister Beatrice Ask) kept referring to individual responsibilities," Foujan Rouzbeh, one of the organisers, said at a press conference after the meeting.
"I also said that under this government, we've gotten the impression that that this type of crime has increased," she added.
A heavily pregnant Swedish woman wearing a hijab on Friday reported being assaulted as she approached her car in the Stockholm suburb of Farsta.
Her claims prompted an outpouring of solidarity on social media sites, with some 4,000 Twitter users of different faiths posting pictures of themselves wearing headscarves yesterday, according to activists.
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Leftist politicians and celebrities were among those supporting the campaign.
On Instagram, just over 130 people had posted pictures of themselves with their heads covered today, and on Facebook around 8,600 people had joined the group "The hijab appeal."
Activists who attended the meeting with Justice Minister Ask said they had also demanded that a commission look into the problem of violence against the women who wear it.
The minister told tabloid Expressen that it was "important to listen," but declined to wear a headscarf herself.