Neesham replaced Doug Bracewell in the team while leg-spinner Ish Sodhi made way for Astle.
Glenn Phillips and Todd Astle are in line to make their ODI debut after being among the six players added to the New Zealand squad for the three-match series against India, beginning in Mumbai on October 22.
Factbox on World Cup match between New Zealand and Sri Lanka at Hagley Oval.
Images from Day 4 of the third Test between Australia and New Zealand in Sydney on Monday.
Kuldeep Yadav picked up four wickets, while Shikhar Dhawan hit an unbeaten half-century to power India to a crushing eight-wicket victory against New Zealand in the first ODI.
Neither side will be at full strength, as a string of first-team players will be missing due to injuries, when India and New Zealand meet in the opening match of the ODI series on Wednesday in Hamilton.
Australia captain Tim Paine lost a referral when third umpire Aleem Dar upheld the decision after reviewing video replays from several angles.
The Kiwis will have greater concern over their lack of finishing after squandering two last over winning positions in two consecutive games, and the series along with.
Vibrant New Zealand deserve all the plaudits.
Skipper Kane Williamson's brilliant 97 and Matt Henry's maiden five-wicket haul gave New Zealand a comprehensive 68-run victory over Pakistan in the final one-dayer in Abu Dhabi on Friday. New Zealand won the series 3-2.
Hardly challenged in a dominating run this season, India once again start as overwhelming favourites when they take on an inconsistent-but-gritty New Zealand in a three-match One-Day International series, starting in Mumbai, on Sunday.
Hasan Ali and Yasir Shah claimed five wickets each against New Zealand to put Pakistan on the brink of victory on day three of the first Test in Abu Dhabi on Sunday.
England were in a strong position to win the second Test against New Zealand and level their two-match series as they extended their lead to 231 runs when bad light stopped play three overs early on the third day at Hagley Oval on Sunday.
Bangladesh shocked New Zealand by five wickets to keep their hopes alive of making it to the semi-finals at the ICC Champions Trophy in Cardiff, on Friday.
New Zealand, who made 249 in the first innings, were undone by the Sri Lankan spinners in their second spell as well.
Indian batsman Ajinkya Rahane jumped three places to enter the top-10 in batsman's list while Ravichandran Ashwin maintained his pole position among all-rounders in the latest Test rankings released by the International Cricket Council (ICC).
Images from the World Cup match between New Zealand and Pakistan, at Birmingham, on Wednesday.
Skipper Kane Williamson smashed his fourth Test double-hundred while Henry Nicholls and Daryl Mitchell notched up centuries to fuel New Zealand's bid for a 2-0 series sweep
India crushed New Zealand by 178 runs in the second Test on Monday to clinch the three-match series and reclaim top spot in the world rankings from Pakistan.
A formidable Indian cricket team is likely to revel in home conditions, as they prepare to host and dominate New Zealand in the first Test in Kanpur, from Thursday, heralding the beginning of a long 13-match home season.
Dinamo Zagreb and Celtic played out a lifeless 0-0 draw in the Champions League on Tuesday, with Celtic keeper Kasper Schmeichel producing the match's memorable moment with a late save.
New Zealand captain Kane Williamson led from the front with a double century to guide the hosts to a huge total in their first innings on Day 2 of the first Test against West Indies, at Seddon Park, in Hamilton, on Friday.
New Zealand captain Brendon McCullum and senior batsman Ross Taylor will skip next month's limited overs series in Sri Lanka to prepare for December's home tests against West Indies, the country's cricket board said on Saturday.
New Zealand are paying little attention to their World Cup rivals' form in the group stage of the tournament as every team that reaches the knockout rounds have potential match winners in the side, spinner Daniel Vettori said on Sunday.
Neesham, a batting all-rounder, rocked the Afghanistan innings by his incisive bowling and in the process returned with his career-best figures of 5/31 from his 10 overs. His earlier best was 4/42.
The focus will be on K L Rahul and Vijay Shankar, contenders for the number four slot, in the World Cup warm up match against New Zealand, in London, on Saturday.
An unwell Trent Boult skipped the New Zealand cricket team's training session at the Bay Oval in Mount Maunganui on Monday, staying away from the squad as a precautionary measure. The left-arm pacer is among eight players including Ross Taylor, Colin de Grandhomme, Jeet Raval, Mitchell Santner, Tim Seifert, Tim Southee and Neil Wagner, who are attending the first half of the camp that started on Sunday.
Captain Kane Williamson and Ross Taylor combined to put New Zealand in a strong position in the first Test before India struck back late on Saturday to remove both just as their partnership threatened to take the match away from the tourists. Images from Day 2 of the first Test between New Zealand and India in Wellington on Saturday.
Fast bowler Trent Boult picked up five wickets as New Zealand hammered India by eight wickets in the fourth One-Day International.
India suffered its worst One-Day International series defeat in New Zealand, losing 0-4, after being trounced by 87 runs in the inconsequential fifth and final match in Wellington on Friday.
Injuries to frontline fast bowlers have forced New Zealand to opt for fresh blood in their pace attack for the three-match ODI series against India starting February 5 in Hamilton. Kyle Jamieson could be in for a potential debut, while Scott Kuggeleijn and Hamish Bennett return to the squad after a long absence. Injury has meant the likes of Trent Boult, Lockie Ferguson and Matt Henry are unavailable for the series.
India stormed back into the second and final Test on the back of some fine seam bowling on Sunday, tearing through New Zealand's top order to leave the hosts rocking on 142 for five at lunch on day two at Hagley Oval. Images from Day 2 of the second Test between New Zealand and India in Christchurch on Sunday.
Check out the Delhi Daredevils squad for IPL 2014.
Srinivas Bhogle and Purnendu Maji list the Most Valuable Players of the India-New Zealand ODI series.
New Zealand opening batsman Martin Guptill has been dropped for the Test series against Pakistan and the uncapped Jeet Raval is poised to make his debut.
Some of their bowling and fielding frailties exposed in the series-opener, India will aim for quick course correction when they take on a resurgent New Zealand in a must-win second ODI, in Auckland, on Saturday. India find themselves in a familiar situation after the loss in Hamilton. But the visitors have come from behind against the West Indies and Australia to win their last two ODI series and Virat Kohli's men will aim to do the same against the Kiwis.
What went wrong for India in the World Test Championship Final against New Zealand?
Rohit Sharma belted two sixes off the final two deliveries of a Super Over to give India victory in a thrilling finish in the third Twenty20 international against New Zealand at Seddon Park in Hamilton on Wednesday and clinch the series with two games to spare. Images from the third T20 between India and New Zealand, at Hamilton, on Wednesday.
The squad will then be trimmed to 15 for the ICC World Test Championship final against India at the Ageas Bowl in Southampton starting on June 18, as per ICC regulations.
All-rounder James Neesham has returned to the New Zealand Test squad for their three-Test tour of India.