Quebec health officials say at least 50 people are now believed to have died from heat-related complications.
The public health agency is still on alert to heat-related health risks but expects a downward trend in the data they use to gauge the level of danger, which includes information on hospitalizations, ambulance transfers and the total number of deaths in the city.
"The worst days were Tuesday and Wednesday", said Dr. David Kaiser. Nearly all were over the age of 60.
Heat warnings were also issued for much of Ontario, Nova Scotia and New Brunswick.
Brochu said part of the reason why the morgue is at capacity is the high amount of bodies that still have to be claimed. Brochu said numerous bodies examined by his team in recent days were in an advanced state of decay, having sometimes spent up to two days in the heat before being found.
The bodies that have been at the morgue the longest will be the ones moved to the funeral home, said Brochu.
Officials confirmed the deaths in Quebec as the Canadian province was left sweltering in the heat wave for days.
Earlier, Environment Canada forecasted that the temperature will be 35 Degree Celsius but it will feel like 45 Degree Celsius.
Although the temperature was down over the weekend, Kaiser said the message to people in Montreal stays the same.
He encourages them to check on their neighbours, especially those who are vulnerable and often isolated.