Okay thanksAm I hearing the beginnings of this conversation?
A: Thank you so much.
B: You're very welcome.
A: That's very kind of you.
B: Oh, don't mention it.
A: I must – it was so thoughtful.
B: Really, anyone would have done the same thing.
A: That's simply not true.
B: That's very kind of you.
A: Oh, don't mention it.
While it's possible, I think it would be the rare circumstance that would require a response to "You're very welcome." A smile usually does it, or a grin.