the matter being discussed; the topic at hand
Refers to what is being talked about, especially in a private or one-on-one conversation. Often implies a shared understanding between the speakers.
About the matter we were discussing, what happened with that thing the other day?
our side of the story; our version
Used when contrasting one's own account or perspective with someone else's, often in a dispute or when clarifying a misunderstanding.
Please hear our side of the story first.
Rarely used kanji form; 此方 is an uncommon spelling for こちら.
Phrase composed of こちら (this way, this side) + の (possessive particle) + 話 (story, topic). The meaning is transparent from its parts.