Opposition politicians in Guatemala want the head of the emergency response agency (Conred) to be dismissed.
They say Conred failed to heed advance warnings about the deadly eruption of the Fuego volcano.
A senior opposition figure, Mario Taracena, said the government should investigate whether there was criminal negligence.
Ninety-nine people are now known to have died since Sunday, and many others remain unaccounted for.
Villages on the slopes were buried in volcanic ash and mud after Fuego erupted.
Subsequent smaller eruptions and the high temperatures of the rock and mud debris have made search teams' work extremely difficult.
More than 1.7 million people have been affected by Sunday's eruption, with more than 3,000 evacuated.
What are the alleged failings of the emergency agency?
Volcanology experts say they warned officials to evacuate the area around the Fuego volcano early on Sunday - due to increased seismic activity and fast-moving flows of volcanic matter.
But it is alleged that Conred did not act immediately.
The agency itself says the expert warnings were not precise enough to trigger a mass evacuation.
But Mr Taracena of the opposition UNE party said the Guatemalan government should investigate whether there was criminal negligence.
What about the search operation?
Of the 99 bodies recovered so far, only 25 have been identified, and many more people are still missing.
"We already have data with names and locations where there are missing persons and that number is 192," said Sergio Cabañas, the Conred head.
Searches are continuing, but there are fears that heavy rain could cause fresh landslides of volcanic mud.
Meanwhile the volcano is continuing to spew out ash and rocks.
"The activity continues and the possibility of new pyroclastic flows in the next hours or days cannot be ruled out, so it is recommended not to remain near the affected area," the country's Volcanology Institute said.
How are the survivors faring?
There are 3,000 people being accommodated in temporary shelters out of the 12,000 who were evacuated from the area.
Volunteers have been handing out food and other essentials to those affected, as well as to rescue workers.
Mr Cabañas said that local residents had received training in emergency procedures but were not able to implement them because the initial volcanic activity happened too fast.