"Canada grieves with our Swedish friends in this hard time and we offer all possible assistance", the prime minister said in his statement on Friday.
The Stockholm suspect, aged 39 and from the Republic of Uzbekistan, applied for permanent residence in Sweden in 2014, but his bid was rejected and he was wanted for disregarding an order for his deportation, Hysing said.
"The Migration Agency rejected it in June 2016 and also decided that he was to be expelled", Hysing added.
A hijacked beer truck plowed into pedestrians at a central Stockholm department store on Friday, killing several people, wounding many others and sending screaming shoppers fleeing in panic in what Sweden's prime minister called a terrorist attack.
The man accused of driving the truck down the busy thoroughfare and into a major department store was arrested shortly after the attack.
"Four people have died and 15 people have been injured", said Bystrom.
Police arrested the man at the wheel of a white van, media said, and placed him under arrest on suspicion of "terrorist crime (by committing) murder".
Police also said about five people of interest remain in police custody. "We have no doubts that we have detained the right person", Swedish police chief Dan Eliasson told reporters. And though it's unclear whether the suspect was a Swedish citizen or how long he'd been in the country, the attack had some city residents re-evaluating the country's stance on immigration.
But police apparently never found the man, whom authorities have said was known to Sweden's intelligence service for undisclosed reasons. "That is what we're going to build on", she said, praising a city "characterised by openness and tolerance".
Victims of the attack are remembered with trbutes along a fence near Ahlens on Saturday..
There was no evidence to suggest any further attacks. There has been as yet no claim of responsibility for the Stockholm assault. Fifteen people were injured, four of whom were in critical condition.
On Sunday, people gathered in central Stockholm for a "Lovefest" vigil against terrorism, and laid flowers outside the Ahlens shop in tribute.
A failed suicide bombing in December 2010 killed an attacker only a few hundred yards from the site of Friday's incident.
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