Neesham scored an important 11 ball 27, which included three maximums and a solitary boundary striking at a rate of 245.5.
Neesham played an important knock off 27 off 11 deliveries with Man of the Match Daryll Mitchell before he was sent back to the pavilion by England spinner, Adil Rashid.
New Zealand opener Daryl Mitchell said that with what's going on around the world right now, it was amazing to see his father travel halfway around the world to watch him play which makes it a very proud moment for the family.
New Zealand now wait for either Pakistan or Australia for the November 14th showdown at the Dubai International Cricket Stadium.
New Zealander Neesham (3/12) and Aussie Coulter-Nile (4/14) snapped seven wickets for only 26 runs in eight overs between them to choke Rajasthan for a meagre 90 for 9.
On Sunday, former Black Caps captains Brendon McCullum and Stephen Fleming were among the second group of cricketers to touch down in Auckland.
Neesham cheekily mentioned Trent Boult, who is the opening bowler for the Mumbai Indians.
Chopra had made a comment pointing out the poor form of the NZ cricketer to which Neesham had reacted.
The six New Zealand players who are set to play in the IPL are Jimmy Neesham, Lockie Ferguson, Mitchell McClenaghan, Trent Boult, Kane Williamson and Mitchell Santner.
The blockbuster finale ended in a tie after 100 overs and the Super Over also saw both the teams score 15 runs off six deliveries.