Kirk Edwards (42 not out) and Darren Bravo (8 not out) were at the crease when rain stopped play on the second day. Earlier, Kraigg Brathwaite scored 68.
Kirk Edwards and Dwayne Bravo both notched centuries as the West Indies flayed New Zealand's attack to reach 363 for four, before Nikita Miller dominated with the ball to skittle the Black Caps for 160.
Chris Gayle was sidelined following a hamstring injury sustained during the tour of India last month. Kirk Edwards has been named as replacement in the 15-man squad.
Tim Southee and Trent Boult combined to take seven wickets as New Zealand dismissed the West Indies for 213 at the University Oval in reply to their first innings of 609-9 declared. Kirk Edwards scored 59 while Darren Bravo was unbeaten on 72 at stumps.
The diminutive 39-year-old scored an impressive 89 as West Indies XI declared at 230/6
A spokesman for the West Indies Cricket Board said that the participation of left-arm fast bowler Sheldon Cottrell is subject to him being passed as fit by the WICB's medical panel.
Put in to bat by India A skipper Cheteshwar Pujara, West Indies 'A' were rocked by an early blow dealt by medium pacer Mohammad Shami when he trapped opener Kieran Powell leg before for a duck, but Brathwaite and Edwards put on a valuable 172-run stand for the second wicket to give the team a solid platform.
West Indies A batsman Kirk Edwards scored an authoritative 104 to take tourists to 312 for 9 in the third unofficial ODI - a total which was insurmountable for Yuvraj Singh's India A.
A slow Kensington Oval pitch and a number of dropped catches helped the West Indies build a solid start against Australia on the opening day of the first Test on Saturday.
New Barbados captain Kirk Edwards has described his beleaguered West Indies skipper Darren Sammy as a "fighting cricketer who gives his all".