Like Psyduck90, I completed a neuro postdoc, so my experiences may or may not be applicable. But I've also been involved in postdoc interviewing, selection, and training for non-neuro fellows, and at least IME, there's a lot of overlap (other than that the neuro match is generally more structured). I don't remember specific questions, but as was said above, the interviews overall were more conversational and were also more about the site wanting to get to know my training interests and goals.
There might be some of the standard, "tell me about a challenging patient," or, "tell me about a challenging situation involving a supervisor/peer" questions. And if it's a VA, at least a few PBI questions could certainly be fair game. But for the most part, the interviews mostly consisted of the TD/supervisors telling me about the site and asking questions about what I was looking for while on fellowship.
Overall, although I enjoyed the internship interview process, fellowship interviews were much lower-stress and more fun (especially after getting through the jitters of the first one or two). For the few sites I went to that offered on-site interviews (most, back then, were at INS), I felt more like a junior colleague being sold on a site than I did a trainee interviewing for a position.