Najmul blunted Aijaz a bit by hitting two more sixes and two fours, while Mahmudul stood firm at the other end against the fast bowlers and spinners.
While the pair looked very strong, New Zealand occasionally brought spinner Phillips into the attack in the last half hour of the session.
In his second over, Phillips bowled a full toss, but Nazmul, who had already come down the track, completely missed his big swing and was caught at mid-on. Kane Williamson took a good high catch in the sunlight to dismiss Nazmul for 37 off just 35 balls, reducing Bangladesh to 92-2.
Zakir (42) and Mominul (three) completed the remaining overs before lunch.
Bangladesh are fielding an inexperienced team with some young players and the debut of 21-year-old batsman Shahadat.
With this match both the teams will start their new cycle of the World Test Championship.
Bangladesh (Playing XI): Mahmudul Hasan Joy, Zakir Hasan, Nazmul Hussain Shanto (captain), Mominul Haq, Mushfiqur Rahim, Shahadat Hussain, Nurul Hasan (wk), Mehdi Hasan Miraj, Nayeem Hasan, Taijul Islam, Shoriful Islam