They were in the Vietnamese Exclusive Economic Zone when the Chinese boats moved towards them, the Indian sources said.
Ray Powell, who leads Project Myoushu on the South China Sea at Stanford University, said the boats belong to the Qiong Sansha Yu militia fleet in the area.
Such militias consist of commercial fishing boats, which work in coordination with the Chinese authorities for political objectives in the South China Sea.
Several of China’s littoral neighbours have accused it of using its official and militia vessels to harass and intimidate their fishing and military boats in the South China Sea.
China has for years claimed sovereignty over the entire South China Sea, and has been sensitive to the presence of other militaries in the region.