TORONTO/CAIRO (Reuters) - Canadian police said on Wednesday that they had no evidence so far to support claims by the Islamic State militant group that it was responsible for a weekend shooting in Toronto that left two people dead and 13 wounded.

Faisal Hussain, 29, was identified by police as the gunman who opened fire on a busy Toronto street, killing 10-year-old girl Julianna Kozis and 18-year-old Reese Fallon. He was found dead shortly afterwards, authorities said.

Hussain, buried by his family on Wednesday morning, died of a self-inflicted gunshot wound, a source close to the family said. The Special Investigations Unit, an independent body looking into his demise, would not confirm a cause of death.

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Islamic State said through its AMAQ news agency that Hussain "was a soldier of the Islamic State and carried out the attack in response to calls to target the citizens of the coalition countries." It did not provide evidence for its claim.

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"At this stage, we have no evidence to support these claims," said Toronto Police Chief Mark Saunders.

"We will continue to explore every investigative avenue including interviewing those who knew Mr. Hussain, reviewing his online activity, and looking into his experiences with mental health."

A boy hands a ''thank you'' card to a Toronto Police Service Mounted Unit officer, as mourners attend a vigil three days after a mass shooting on Danforth Avenue in Toronto, Ontario, Canada, July 25, 2018. Reuters/Chris Helgren Members of the Markham Synchro Swimming Club pay respect at a makeshift memorial as they take part in a vigil three days after a mass shooting on Danforth Avenue in Toronto, Ontario, Canada, July 25, 2018. Reuters/Chris Helgren Members of the Markham Synchro Swimming Club pay respect at a makeshift memorial as they take part in a vigil three days after a mass shooting on Danforth Avenue in Toronto, Ontario, Canada, July 25, 2018. Reuters/Chris Helgren A member of the Markham Synchro Swimming Club pays respect at a makeshift memorial as they take part in a vigil three days after a mass shooting on Danforth Avenue in Toronto, Ontario, Canada, July 25, 2018. Reuters/Chris Helgren Mourners take part in a vigil three days after a mass shooting on Danforth Avenue in Toronto, Ontario, Canada, July 25, 2018. Reuters/Chris Helgren A man carries a sign while taking part in a vigil three days after a mass shooting on Danforth Avenue in Toronto, Ontario, Canada, July 25, 2018. Reuters/Chris Helgren Toronto Mayor John Tory takes part in a vigil three days after a mass shooting on Danforth Avenue in Toronto, Ontario, Canada, July 25, 2018. Reuters/Chris Helgren Premier of Ontario Doug Ford arrives for a vigil three days after a mass shooting on Danforth Avenue in Toronto, Ontario, Canada, July 25, 2018. Reuters/Chris Helgren Mourners march as they take part in a vigil three days after a mass shooting on Danforth Avenue in Toronto, Ontario, Canada, July 25, 2018. Reuters/Chris Helgren Mourners march as they take part in a vigil three days after a mass shooting on Danforth Avenue in Toronto, Ontario, Canada, July 25, 2018. Reuters/Chris Helgren Mourners take part in a vigil three days after a mass shooting on Danforth Avenue in Toronto, Ontario, Canada, July 25, 2018. Reuters/Chris Helgren Mourners take part in a vigil three days after a mass shooting on Danforth Avenue in Toronto, Ontario, Canada, July 25, 2018. Reuters/Chris Helgren A boy passes messages written on construction boarding after a mass shooting on Danforth Avenue in Toronto, Canada, July 25, 2018. Reuters/Chris Helgren Anti-gun posters are seen attached to a tree at Alexander the Great Parkette, the scene of a mass shooting on Danforth Avenue in Toronto, Canada, July 25, 2018. Reuters/Chris Helgren

Hussain's family said he worked in a grocery store but spent much of his time at home, and the struggled with severe mental illness.

Police said it was not known how Hussain obtained a gun.

The Canadian Broadcasting Corporation, citing an unnamed police source, reported on Wednesday that Hussain got the gun from his brother, Fahad Hussain, and that it had been traced to the United States.

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