As a beginning student of Chinese I am also learning a bit more about Chinese history. As such I am more-and-more impressed by the quality of thought that has been left behind by Chinese philosophers from the Hundred Schools of Thought period (770 to 221 BC) during the Era of Warring States , i.e. Confucius (551–479 BC), Laozi (6th century BCE), Zhuangzi (369–286 BC), etc. So many main lines of concemporary philosophic thought seemed to be alive and mature already at that remote time.
Pre-Socratic and later Hellenistic Philosophy began in Ancient Greece also in 6th century with Plato (428-347 BC), Socrates (469-399 BC), Aristotle (384-322 BC), Epicurus (341-270 BC), Zeno (c. 334 BC – c. 262 BC), etc.
What do we know about possible historic influences from China on developments in Greece (or the other way around). I am aware of one book (Thomas C. McEvilley: The Shape of Ancient Thought: Comparative Studies in Greek and Indian Philosophies) whose title and table of contents seem relevant to influences from India, but have not read it yet. I would also be interested in historic influences for religious thought (from Buddhism, say).