Eckenstein was a member of an expedition led by Sir Martin Conway to the Baltoro Muztagh region in 1892. The expedition was sponsored by the Royal Society, the Royal Geographical Society and the British Association, and included a young C.G.Bruce on his first major trek. Conway and Eckenstein had a deep personality conflict, and Eckenstein withdrew from the expedition after six months. In Kashmir, he conducted bouldering contests for the natives - possibly the first such formal competitions ever. Eckenstein collected his letters and diary notes from this expedition into a book published under the title 'The Karakorams and Kashmir'.