As a student of the English language, I have always considered the meanings of such phrases as
I'll meet you... and
You'll meet me... to be identical in nature, since the verb
meet tends to be somewhat "symmetric" concerning it's subject and direct-object.
However, I was wondering if there is any subtle difference in meaning between the two phrases that might distinguish one from the other, aside from the fact that their subjects and direct-objects have been reversed.