"There are con man conventions?"

[There's one, at least.]

"What are they there to convene about? Why were you there?"

[They hold it near where I used to live, I didn't get invited to the convention.]

"Ah, so you met the guy outside the con itself. ... so to speak." She starts rummaging for evening snacks.

[...Is "con" a homophone in English?]

"Yeah. Short for convention and also confidence as in confidence man or confidence game."