I had an interview for a position with an initial part-time duration of 2 months.
It was a team lead role with full-time work only after two months. After some discussion about the role and the compensation, they asked me to get back with my expected salary for the part-time duration (they had a low number in mind from what I could understand as they were comparing it with my previous salary).

So considering what they were going to offer me for the full-time position, the part-time duration (3 hrs/day for two months), and the lead role, I followed up with a higher number (with some reasoning behind it) than they mentioned during the call.
I did not hear back from them after this.