Samuli Mansikka and Pemba Sherpa slipped and fell into a cracked glacier after a successful summit of the challenging 8,091-metre (26,545-foot) mountain in Nepal's Himalayas eight days ago, the managing director of Dreamers Destination said.
"We are trying to recover the bodies but our attempts so far have failed because the bodies are stuck in a narrow glacier crevasse," Temba Tsering Sherpa told AFP.
"Helicopters cannot land in the area and it's difficult for people to reach the crevasse and pull out the bodies," Sherpa said.
The 36-year-old Finn, an experienced mountaineer, had climbed the mountain solo and without bottled oxygen. He was descending on March 24 with the 35-year-old guide, who was working for another team, when they fell into the crevasse.
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Every year hundreds of people from around the world travel to Nepal to take advantage of the brief spring climbing season, when conditions are at their best.
In April last year an avalanche killed 16 Nepalese guides in the deadliest-ever accident on Mount Everest, spurring an unprecedented shutdown of the 8,848-metre-tall mountain.