The Black Caps will resume this morning on day two at 85-2 in reply to the West Indies first innings total of 134 with Jeet Raval and Ross Taylor at the crease.
The West Indies coach Stuart Law said his side was bitterly disappointed with its batting effort but believe if they can dismiss Taylor early on they'll still be in the hunt.
"We're good enough to bowl New Zealand out, but a big wicket is Ross Taylor, if we can get him out early then anything is possible."
"A 100-150 lead sounds a lot, but I believe our players if we put our minds to it, that's a pretty good batting wicket heading into day three and four."
Law is adamant they are not down and out despite their paltry first innings total.
"We tend to have a habit of not starting series well, but by no means are we dead and buried in this contest. It's only day one out of five, and the weather looks set for another four days, so anything's possible in the second innings for our batters."
The West Indies claimed the wickets of Tom Latham and captain Kane Williamson late in the day to restrict New Zealand's momentum.
Latham was removed for 37 while Williamson went cheaply on one.
Black Caps' opener Jeet Raval has moved through to 29 while Ross Taylor is not out on 12.
Earlier in the day New Zealand pace bowler Neil Wagner claimed career best figures of seven for 39.
The tourists got off to a solid start and made it through to 75 for one, but then lost eight wickets for 30 runs before a 29-run tenth wicket stand took them through to 134.
Black Caps skipper Kane Williamson won the toss and opted to bowl but an opening stand of 59 between Kraigg Brathwaite and Kieran Powell gave the tourists a steady if unspectacular start and suggested the wicket held few demons for the batting side.
But when Wagner came to the bowling crease and bowled his usual back of length into the body deliveries at around 140kph the Windies batsmen struggled, as Wagner removed five of the tourists' top six.
Trent Boult took two wickets while Matt Henry and Colin de Grandhomme went wicketless.
-RNZ