New Zealand were in a healthy position after the second day of their tour game against a Bangladesh Cricket Board XI at Savar.
Off-spinner Wiseman is hoping to earn a Test recall
After declaring on 344-6, they reduced the home side to 200-7 as Ian Butler, Daniel Vettori and Paul Wiseman picked up two wickets each.
Hannan Sarkar and Mohammad Ashraful both made 44 for the home side.
But they each fell to spin as Vettori and Wiseman did the bulk of the bowling for the Kiwis.
Vettor made an unbeaten 26 during the morning as he and Brendon McCullum, who finished on 52, extended their seventh wicket stand to 70.
He then sent down 24 overs for figures of 2-57, with off-spinner Wiseman returning 2-56 from 21.
All-rounder Jacob Oram made the initial breakthrough when he dismissed Nafis Iqbal for nought.
And Butler, New Zealand's quickest bowler in the continuing absence of injured Shane Bond, was rewarded for his accuracy with the wickets of Aftab Ahmed (14) and Shamsur Rahman (37).
The first match of a two-Test series against Bangladesh begins in Dhaka next Tuesday.