Luka Rocco Magnotta, 29, is being sought in connention with the murder, Montreal police said.
According to an official there is video of the crime.
Magnotta, believed to originally be from Toronto, was renting an apartment in a working-class Montreal neighborhood.
It was behind that building that police found a man’s torso in a suitcase in a heap of garbage on Tuesday.
The same day, a foot was found in a package mailed to the Conservative party headquarters in Ottawa, and a hand found at postal warehouse in the Canadian capital.
The package with the hand was addressed to the Liberal Party of Canada. Early testing shows the three body parts come from the same man.
Police in masks combed through the blood-soaked Montreal studio apartment. A blood stained mattress remained there after they left.
“For most of the officers that were there all night long this is the kind of crime scene they’ve never seen in their career,” Montreal Police Cmdr Ian Lafreniere said.
Lafreniere said they are investigating the possibility that other body parts might have been mailed. He said the suspect and the victim knew each other. He said it isn’t linked to organized crime.
The packages with the foot and the hand had been mailed to Ottawa from Montreal. It wasn’t clear why.