[ He tries not to look too relieved when he sees that Kazuki has left that previous topic alone and instead moves to something less personal for two people just meeting for the first time. Maybe after more time passes or things change for him, Yuuri could feel at ease sharing. ]

I'm Yuuri Katsuki. [ Offers back politely. ] And well, even if these aren't the most idea of situations, we could make the best of them.

[ He says a bit mildly and looks back at the ice that he was chipping at until he got distracted. ]