The group were reported missing last Wednesday and later presumed dead, but recovery efforts were hampered by weather conditions.
The men were part of a team sponsored by outdoor clothing line North Face. Canadian authorities said air rescuers had seen "signs of multiple avalanches" where they were found.
In a statement, Parks Canada said it "[extended its] sincere condolences to [the men's] families, friends and loved ones".
"We would also like to acknowledge the impact that this has had on the tight-knit, local and international climbing communities," it added.
During their expedition, the group had been taking a route up Howse Peake, known as M16, which has only been climbed once before.
All three were renowned within the mountaineering community. Mr Lama was part of a duo that carried out the first free ascent of Cerro Torre's Compressor route in Southern Patagonia.
Recently, Mr Auer had also completed a solo ascent of Lupghar Sar West, a 23,559ft (7,181m) peak in Pakistan's Karakorum range.
In 2003, Mr Roskelly became the youngest American to climb Mount Everest - the world's highest peak - aged 20 at the time.
His father, John, was also a mountaineer and climbed Howse Peak via a different route in the 1970s.
"It's just one of those routes where you have to have the right conditions or it turns into a nightmare," he said in an interview last week with The Spokesman-Review newspaper.
"This is one of those trips where it turned into a nightmare."
