I'm no expert of either, but there seem to be some key similarities between Ancient Latin and Greek, like the -us/-os and -um/-on endings. They even have the same word for "I." Did either peoples notice the same thing and suspect that their languages could have come from a common source?

by z500

Mens_provida_Reguli

~~I'm not sure which "other people" you are referring to.~~ The Romans thought that Latin was a dialect of Greek. Modern linguists believe that they are both part of the Indo-European language family and therefore have a common linguistic ancestor. This article will probably interest you