Waterloo Regional Police Staff Sgt. Perry Cort told CBC News that the most recent discovery was made by a person who was looking through a dumpster on Frederick Street in Kitchener yesterday.
The person then called police just after 11 a.m. Saturday.
Waterloo Regional Police issued a news release Sunday, saying that investigators have confirmed the remains are human and they believe that the human torso belongs to a white woman.
There are no details yet on the age or identity of the deceased.
"[For] the officers right now, the focus is on trying to find out who this lady was, who her family is and of course, focusing on who did this," said executive officer Kevin Thaler, when speaking with CBC News by telephone on Sunday.
Police say that the deceased wore a black T-shirt with the words "Forget princess, I want to be a vampire" on the front.
An image of a similar T-shirt was released to the media on Sunday.
Police have not recovered any other remains so far.
A forensic autopsy is scheduled to take place at a Hamilton hospital on Monday.
Investigators were due to return to the scene where the remains were found on Sunday. Thaler said that 28 officers have been assigned to the case.
Prior dismemberment cases in Canada
In the past six months, police in southern Ontario have encountered at least two other cases involving dismembered bodies.
Police found parts of a missing woman's body in Toronto and in Peel Region last summer. The victim’s former boyfriend was later charged with second-degree murder.
That same month, another woman's torso was found at the bottom of Niagara Falls. Police later identified the deceased as a missing mother from New York state.
Both of those cases followed another high-profile dismemberment investigation in Canada that occurred in the spring of last year, in which a Chinese exchange student was slain in Montreal and pieces of his body sent through the mail.
A Canadian suspect, Luka Rocca Magnotta, was arrested in Germany last year, brought back to Quebec and charged with the first-degree murder of Jun Lin.
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