The fall occurred Wednesday at the climbing venue known as Sendero Luminoso, an nearly sheer rock face on the El Potrero Chico peak near the city of Monterrey.
Survivor Aidan Jacobson was climbing with California free solo climber Brad Gobright who died in the fall.
Climbers descend a rock face by using a doubled rope coiled around the body but the method is described by experts as one of the most common causes of deaths in the sport.
Among them was Alex Honnold, a leading free climber who features in the Oscar-winning documentary Free Solo.
"It was such a warm and kind man, one of the few partners with whom I've always loved to spend a day", Honnold wrote on his Instagram page.
"I suppose there's something to be said about being safe out there and the inherent risks in climbing but I don't really care about that right now", his post reads.
"I enrolled Brad in soccer when he was 5", his mother, Pamela Gobright, told Rock and Ice Magazine in a 2015 profile of the climber. By high school, he was free soloing at Joshua Tree and Yosemite national parks.
"It was basically a blur", Jacobson told the magazine.
Jacobson landed on a rock outcrop, but Gobright bounced off and fell another 300 meters to his death, they said. "He screamed, I screamed, I went through a vegetation and all I remember was seeing his Gramicci blue shirt bounce off the edge".
"Brad was a real gem of a man".
Jacobsen crashed through a bush, which literally saved his life by slowing the fall and preventing him from tumbling further.
Honnold said he'd often climb with Gobright as they discussed weighty topics such as the rise of China and would trade books about the evolution of humankind.
The news was met with an outpouring of grief on social media.
Mr Gobright was a highly experienced climber and had once held the speed record on the Nose of El Capitan. He was so supportive and encouraging, always pushing me harder and believing in me.