Ravi Kumar went missing recently and his body was spotted inside a crevice last week.
The bodies of two other climbers who died last year were also brought to Kathmandu on Sunday.
Mr Kumar had successfully scaled Everest, but was separated from his guide on the climb down.
He is believed to have fallen almost 200m (657 feet) to his death.
The guide was earlier found unconscious at Camp 4, just below 8,000 metres, with severe frostbite.
Rescuers said the recovery of Mr Kumar's body was a risky operation.