The last ODI series New Zealand played against Bangladesh was in Bangladesh in 2013. The results of the three-match ODI series was all in favor of Bangladesh. Here are the results:
Match 1: Bangladesh won by 43 runs (D/L method). Bangladesh 265 (49.5/50 ov); New Zealand 162 (29.5/33 ov, target: 206)
Match 2: Bangladesh won by 40 runs. Bangladesh 247 (49/50 ov); New Zealand 207 (46.4/50 ov)
Match 3: Bangladesh won by 4 wickets (with 4 balls remaining). New Zealand 307/5 (50/50 ov); Bangladesh 309/6 (49.2/50 ov).
They met again in CWC2015. New Zealand won by 3 wickets but that was a tough competitive match as Bangladesh was really in form.
So can Bangladesh keep performing same as before against New Zealand? We have to wait till tomorrow to see what happens.