Wellington
Pakistan was 71-3, still 302 runs from its victory target of 373, with Azhar Ali on 34 and Fawad Alam 21 not out.
It will need to bat the entire final day on a deteriorating Bay Oval pitch on Wednesday to stop the host taking a 1-0 lead in the two-match series.
Southee joined Richard Hadlee (431) and Daniel Vettori (361) when he had Haris Sohail caught at short extra cover by Mitchell Santner for nine to reduce Pakistan to 37-3 after tea.
BRIEF SCORES: New Zealand 431 & 180/5 decl. vs Pakistan 239 & 71/3 in 38 overs
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