Pasquale Gagliardi, a doctor with an emergency helicopter service, told ANSA that one survivor was the 8-year-old girl, found in a state of shock next to a body.
Her parents were believed to be among the dead.
Three people who had been listed as missing had changed plans and were located elsewhere, and officials called off the search for any further possible victims.
"A real avalanche of water came unexpectedly. We did not have time to do anything. I was lucky, it was an incredible thing," a Dutch hiker told local media.
Italy's environmental minister urged prosecutors to look at possible criminal responsibility and administrative lapses that may have contributed to the deaths.
"Italy is tired of crying for the dead. Enough," Environment Minister Sergio Costa said during a visit to the scene. "If what happened is the result of negligence, sloppiness or a lack of awareness of the risks, we are facing a serious situation that we need to get to the bottom of."
The tragedy came six days after a highway bridge collapse in the northern port city of Genoa killed 43 people.
Italian prosecutors opened a criminal investigation into the gorge deaths, and the Government has asked for a separate administrative proceeding to determine if there were lapses that contributed to the deaths.
Prosecutor Eugenio Facciolla said authorities were investigating possible charges including manslaughter, causing bodily harm and official negligence, the news agency ANSA reported. No target has been identified.
Questions focused on whether weather alerts had been properly issued and heeded, and whether access to the gorge and its challenging terrains should be better regulated.
Meteorologists say that the intense rainfall that provoked the torrent wasn't particularly extraordinary for the period. Still, rescue workers and officials said flash floods in the gorge are rare in the summer, and that one of that magnitude hadn't registered for about a century.
"Without a doubt, the event was of a weight we haven't seen for many years. We are talking about at least 90 years ago," the president of the Pollino National Park, Domenico Pappaterra, told Sky TG24.
Pappaterra said the park's own guides don't bring hikers through the canyon, and he said that only well-equipped and trained trekkers should access the upper part of the canyon. The lower area, near a man-made stone crossing known as Devil's Bridge, is more accessible to casual tourists.
"There are those out for an adventure, and they do it in a careless way," he said.
Italian media reported that the dead were all Italians. .
A local resident who helped respond to the emergency, identified only as Claudio, told ANSA that he helped two youths from Naples who managed to climb out of the gorge on their own.
"They were in a state of shock and they arrived without shoes and with cuts from the rocks. They recounted a terrifying situation," he said.