Officials are considering building a rail link from Chinese-controlled Tibet to Nepal which would ultimately link the mountain state's capital, Kathmandu, with Beijing - and would need to pass beneath the Himalayan mountain range.
The new rail route would boost trade and tourism between China and Nepal in a development that risks more tension with India over China's ambitions in south Asia.
The new line would join an existing line from Qinghai, a central Chinese province, to Lhasa, the capital of Chinese-controlled Tibet, and is being planned "at Nepal's request", according to reports in the China Daily. A Tibetan official is cited as saying it will be completed by 2020.
Everest's 8848m summit sits precisely on Nepal's border with China. The rail project's specific details are few, but engineers may look for guidance to the makers of the world's current longest and deepest tunnel, under the Swiss Alps.
China's Foreign Minister, Wang Yi, visited Kathmandu in December and said the line could eventually be extended to that city and beyond.
Chinese tourism to Nepal, which is home to eight of the world's 14 peaks higher than 8000m is also growing.
Wang Mengshu, of the Chinese Academy of Engineering, told state media: "If the proposal becomes reality, bilateral trade, especially in agricultural products, will get a strong boost, along with tourism."
He added: "The line will probably have to go through Qomolangma [the Tibetan name for Everest], so workers may have to dig some very long tunnels."
The challenging Himalayan terrain, with its "remarkable" ups and downs, means that trains on any line to Kathmandu would probably have a maximum speed of 120km/h, he said.
Sino-Indian tensions remain high, with both countries - home to 40 per cent of the world's population between them - seeking to shore up their influence in their respective regions.
Not far from the proposed rail link are areas which China and India both claim as their own, and over which there was a border war in 1962.
