The Sino-Indian war of 61 and 62 was relatively short and resulted in a Chinese victory. The Indians received arms and assistance from the US, Britain and USSR before it was over I think.
However, could there have been a more escalatory response on the part of India and the USA? It seems to me that India did not lack for infantry or other kinds of ground troops, but could there have been an attempt, possibly successful, to roll back the Chinese in Aksai Chin using Indian ground power backed by US logistics aid and airpower?
What obstacles most need to be overcome for this to happen? Is it enough to have an Indian government more determined to avenge its early defeats and less concerned about non-alignment? Does something need to change in the American calculus? Were the Americans already too heavily invested in Indochina to engage much in South Asia and the Himalayas?