Singh will visit Nepal on the invite of his Nepalese counterpart General Gaurav Shumsher Jung Bahadur Rana, Army officials said here.
He will also for the first time address an ex-servicemen rally of the former Gurkha troops of the Indian Army in Pokhra in Nepal, they said.
A large number of Gurkha troops serve in the Indian Army and the Defence Ministry has also opened up Ex-servicemen Contributory Health-care Scheme (ECHS) clinics to serve its former soldiers there, they said.
20 mountaineers finally stood on the summit of Mount Everest during the early hours of May 19 and 20 and unfurled the flags of the two nations.
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This achievement came just nine days short of the diamond jubilee of the first ascent Mount Everest by Hilary and Norgay.
This expedition also made a contribution towards cleaning the peak and more than a ton of non-biodegradable waste left on the mountain by generations of climbers has been brought down, making the mountain somewhat cleaner.
This is the highest marathon in the world in which participants will cover a distance of 42 km.