However, one non-European actor--the Principality of Bengal--was involved in the Third Silesian (Seven Years) War. I'm not sure if any others were involved in the earlier wars.
Check out the map of Seven Years War (1756-1763) in post #74.
It shows all the countries & lands where military operations or battles took place.
And that's not including naval engagements.
Note the Philippines, India, East & West Africa, South, Central & North America, as well as Europe.
Can you produce a similar map for some previous war?
Or, alternatively, here is a list of 92 specific Seven Year's War battles, in locations shown on the map.
If you can't find a map, can you at least find a similar list of battles, showing world-wide war?