Every few minutes, the mortuary owner’s phone rings. Since a record-smashing heat wave started taking lives and storage space for bodies in Paris and beyond, the funeral directors and mourning families calling him mostly have the same question: Do you have room for one more?

With all 32 places in his cold room taken, Zouhaeir Hertelli reluctantly has to gently say “Non,” over and over and over again.

“We’re facing a really catastrophic situation,” he said. “I’m getting hundreds of calls.”

As the historic heat wave shifted its deadly temperature eastward this weekend to other parts of europe France began counting the human cost it left in its wake.

The statistical and public health work of tallying heat-related deaths could take weeks or months. But it’s already apparent that the toll exacted by the intense, unrelenting extreme temperatures was terrible in France, the first country hit from mid-June, particularly among older people who died at home.

“We’re dealing with an enormous spike of deaths because of the heat wave and we’re really full, full, full,” Hertelli said.

In its first preliminary estimate, the national public health agency said deaths surged during the heat wave’s peak in France last week, which roasted most of Europe’s largest country with temperatures that soared in many places above 40C (104 F) and also broke records for nighttime highs — an exhausting one-two punch for fatigued bodies.

Public Health France said there were more than 1,200 deaths last Wednesday, when France registered its hottest-ever day breaking a record that had been set just the previous day.

Deaths then increased to more than 1,400 on Thursday and another 1,400 on Friday, it said. By way of comparison, the pre-heat wave death rate in April and May was around 900 to 1,000 per day, it said.

The agency cautioned that its estimate of at least 1,000 additional deaths during those three sizzling days alone is expected to increase as more death certificates come in for people who died at home and in care facilities for older people, where most deaths are still not registered electronically.

“Mortality will as a consequence be higher than these first figures,” the agency said.

It said that 85% of the deaths registered so far during the three days it studied involved people aged 65 and above and that there was a sharp increase in deaths at home — up by about 40% — particularly in the Paris region.

Hertelli and others in the funeral industry said Paris mortuaries quickly ran out of storage space. City Hall said two temporary storage units, with 20 places each, were installed for municipal mortuaries and that city hospitals provided another 50 additional places.

Still, Hertelli said funeral directors he spoke to told him they were having to store bodies as far away as Chartres — 80 kilometers (50 miles) from Paris — and in other regions around the capital. To open more space, he said he has asked authorities for permission to temporarily install refrigerated containers outside his mortuary, which is next to Paris’ Orly airport, but is still waiting for a green light.

“Families are suffering,” he said. “We have no solution to offer them, because the funeral homes are full. So we are deeply affected, we have empathy for them, but there’s nothing we can offer. We are really facing a problem, a big problem,” he said.

Historic high temperatures in 2003, surpassed this time, were blamed for 15,000 deaths, provoking a national reckoning about care of older people, who were particularly hard-hit. More than 5,700 deaths were also attributed to heat during an exceptionally hot summer last year.