そういう話

that kind of thing

→ そう
phrase Rare #34,410
that kind of thing 話 can mean a story, conversation, matter, or situation, depending on context.
JA: そういう話は聞いたことがある。
EN: I've heard that kind of thing before.

少なくとも、そういう話になっている。

At least, that's the story.

そういう話なんだ

So that's what this is about.

— Sanjuro (1962)

“なるべく早くあなたの仲間を集めてほしい”そういう話なんだ

What they’re saying is, “I want you to gather your people as soon as possible.”

— Sanjuro (1962)