I'm pretty sure that India has interacted with many societies. there are ancient Hindu temples and artifacts found all over the world from ancient times. And there are striking similarities with Hindu and Greek gods. Poseidon, for instance, has a trident as does Varuna, god of the sea (and so does Shiva). Indra is the god of the heavens, he controls the rain and storms and has a lightning bolt, same a Zeus. Hercules is often compared to Bhima, who is mighty strong and a demi-god (half god/half human).
There are many, many similarities.