The 29-year-old last played for the national side in March, 2010 and has been on the outer since. But the right-hander scored a remarkable century against the Perth Scorchers in a Champions League group match in September and has been added to the squad as additional cover.
Broom whacked an undefeated 117 from 56 deliveries and was a significant contributor in Otago's successful HRV Cup campaign last summer. He top-scored in the final with 60 from 52 deliveries and his ball-striking appears to have improved since he had laser surgery on his eyes during the off season.
Broom, who will miss Otago's Plunket Shield match with Canterbury beginning on November 19, basically switches places with Black Caps captain Brendon McCullum, who will return to New Zealand alongside Ross Taylor to play some first-class cricket.
Kane Williamson would have led the side in McCullum's absence but he has been sidelined with a fractured bone in his hand.
Experienced pace bowler Kyle Mills will captain the side in the three ODIs and two twenty20 matches, starting on November 10 in Hambantota.
The 34-year-old has played 153 ODIs and will be leading the Black Caps for the first time.
Rob Nicol will replace Williamson in the squad, while his Canterbury team-mate Andrew Ellis has been called up, after a back injury ruled out Otago seamer Ian Butler.
''It's disappointing that Ian's back didn't settle in time for the Sri Lanka tour,'' Edgar said in a press release.
''We'll also bring in Otago's Neil Broom for the final ODI and the two twenty20s as additional cover.''
Nicol and Ellis will join the Black Caps after this weekend's opening rounds of the HRV Cup.
Meanwhile, the New Zealand Cricket chief, David White, last night made plain the national body's unhappiness at this week's back-to-back ODI defeats in Bangladesh.
However, White also issued a solid endorsement of both coach Mike Hesson and captain McCullum, who have received much criticism as New Zealand sunk to a second consecutive loss - and with it the series - in Dhaka yesterday, with the final game to be played in Fatullah tomorrow night.
''It is disappointing, especially as we'd won the last two overseas series, beating England and South Africa away,'' White said.
''I know the coaching team and the players are very disappointed.''
In Fatullah, New Zealand will be seeking its first win of any sort in the country since October 2008, the last nine games producing three draws and six defeats. But anyone expecting a witch hunt at the top is out of luck.
''Mike is contracted through to the end of the cricket World Cup in 2015 and Brendon has had a tough month,'' White said.
''He's a quality player and is working very hard at turning it around.''
Since the pair took charge after Ross Taylor's demotion late last year, New Zealand has lost four and drawn five of its nine tests; and won six and lost 10 ODIs.
White was cautious in his praise of Bangladesh - ''we don't want to make excuses for our team'' - but added that ''they are very competitive, and in their home conditions''.
McCullum and Taylor are skipping the Sri Lanka tour, starting straight after New Zealand leaves Bangladesh next week. White understands no consideration was given to reversing that decision in the wake of this week's embarrassing ODI defeats.
And Mills insists the losses, by 43 and 40 runs respectively, do not point to a mental block against the Bangladeshis. He cited the last two ODI series wins against much stronger opponents in England and South Africa.
''Bangladesh are a very good cricketing side in their conditions, a tough team to beat. They know these conditions well but they're a lot different to [New Zealand],'' Mills said.
''Everyone is building towards the World Cup and conditions will be a lot different for Bangladesh when they head over, so I don't think it's a mental block, whatsoever.''
This Bangladesh team is not even at full strength. The country's best cricketer, world No 1-ranked allrounder Shakib al Hasan, has missed both games with dengue fever.
New Zealand's problems this week have revolved around the batting. The bowling has been serviceably good, the fielding impressive but the batting limp. No-one has taken a grip on proceedings and shaped the contest decisively New Zealand's way.
McCullum's wretched run with the bat is not helping. A captain needs to be in form, leading on the park in a productive sense, as well as being the decision maker.
The captain is well out of touch. He has now scored 244 runs at 17 in all forms since going to England last May. On this tour it is 68 runs in five innings, at 13.
On the up side, allrounders Corey Anderson and Jimmy Neesham have caught the eye, Tim Southee looks in good nick after his injury layoff and ... well, that's about it.
One prominent broadcaster asked rhetorically this week whether beating Bangladesh really mattered. Yesterday's talkback hammering directed at the national team, and in particular the senior figures, should have given him a clue.
Black Caps squad: For the Sri Lanka tour
Kyle Mills (captain), Corey Anderson, Neil Broom, Anton Devcich, Grant Elliott, Andrew Ellis, Tom Latham, Mitchell McClenaghan, Nathan McCullum, Adam Milne, Colin Munro, James Neesham, Rob Nicol, Luke Ronchi, Hamish Rutherford.
Schedule
Nov 10: 1st ODI, Hambantota
Nov 12: 2nd ODI, Hambantota
Nov 16: 3rd ODI, Dambulla
Nov 19: 1st T20, Kandy
Nov 21: 2nd T20, Kandy
- Additional repoting by David Leggat.