Earlier, Bangladesh won the toss and opted to bat but all-rounder Curran gave England an ideal start after dismissing the two openers in his first spell.
India suffered a top order meltdown chasing a small victory target of 145
A look at how India have fared in their World Cup opening games.
Chris Greaves' 45-run knock and two-wicket haul helped Scotland stun Bangladesh by six runs in Group B encounter of the ICC Men's T20 World Cup here at the Al Amerat Cricket Ground (Ministry Turf 1) on Sunday.
Skipper Dimuth Karunaratne made 52, while Kusal Mendis (48) and Dhananjaya de Silva (33) also contributed with the bat for the tourists.
Bangladesh's first win in any format of the game in New Zealand gave them a 1-0 lead in the two-match series
Images from Day 2 of the first Test between Bangladesh and India, at Chattogram, on Thursday
Images from the T20 World Cup Super 12s match between Bangladesh and England, in Abu Dhabi, on Wednesday.
New Zealand thrashed Bangladesh by eight wickets in the first ODI on Saturday.
Ishan Kishan played just one match in the series, but his blistering 210 in 131 balls took him to the second place (MVPI: 289).
Bangladesh had been set a target of 274 for the win but resumed on the third morning on 11 for three and were bowled out inside 55 minutes.
As Bangladesh completes 20 years in Test cricket, Norma Astrid Godinho picks nuggets about a cricket-passionate nation who no team can take lightly anymore.
South Africa spinner Keshav Maharaj took the key wicket of first innings centurion Mahmudul Hasan Joy as Bangladesh slipped to 11/3 in pursuit of a victory target of 274 at the close of play on day four of the first Test.
Trying to pick up pieces after a demoralising defeat, India's decorated top-order will be desperate to change the narrative and give a better account of itself in the do-or-die second ODI against Bangladesh.
India captain Virat Kohli embellished the pink-ball Test with a sparkling century and his quick bowlers reduced Bangladesh to 152-6 as the hosts closed on a 2-0 series sweep on day two of the second and final Test.
IMAGES from the Asia Cup match played between Afghanistan and Bangladesh in Sharjah on Tuesday.
Poor fielding and lack of judgement while going for the Decision Review System cost India the first T20 International against Bangladesh, stand-in skipper Rohit Sharma said.
Bangladesh left-arm spinner Taijul Islam took 6/135 but the touring side struggled with the bat as they limped to 139 for five at the close on day two of the second and final Test against South Africa on Saturday.
A couple of hours after being told by doctors that his Asia Cup was over because of a fractured left wrist, Tamim walked out to bat with one hand after the fall of ninth Bangladesh wicket.
Rajneesh Gupta highlights important numbers for the Bangladesh team from World Cups.
A struggling Indian team, severely depleted by a spate of on-field injuries and fitness-related problems, will be determined to avoid the ignominy of a clean sweep against Bangladesh in the final ODI of the three-match series.
Bangladesh skipper Mominul Haque and Liton Das were denied hundreds but their resolute batting helped the tourists eclipse New Zealand's first innings total and move into a handy lead of 73 after finishing Day 3 of the opening Test on 401-6.
New Zealand held their nerve under the floodlights to beat Bangladesh by two wickets in a dramatic low-scoring Cricket World Cup match at The Oval on Wednesday.
Images from the T20 World Cup Super 12s match between Bangladesh and Australia, in Dubai, on Thursday.
The middle-order failed to put up a fight, and soon the hosts gained complete advantage by reducing West Indies to 93/5 in the 26th over.
'We know the ball is going to swing and it was important to control the swing and be accurate with our line and length.'
Images from the Asia Cup T20 match between Sri Lanka and Bangladesh in Dubai on Thursday.
Mushfiqur Rahim stroked a brilliant 99, while Mustafizur Rahman picked up four wickets as Bangladesh outclassed Pakistan by 37 runs to qualify for the final, in the Asia Cup in Dubai, on Wednesday.
Rajneesh Gupta presents some interesting numbers from Day 3.
Bangladesh's T20 skipper Mahmudullah Riyad said Shakib Al Hasan's absence from the India tour will act more as a motivation than handicap.
Afghanistan scored 145 for six after electing to bat, a target which they defended riding on Rashid's brilliance.
Bangladesh captain Mushfiqur Rahim has said that his team is keen to give a good account of itself and tell "world cricket what we can do" in the one-off Test match against India, to be held in Hyderabad next week.
Captain Tom Latham smashed an unbeaten 186 as New Zealand bounced back from their shock defeat in Mount Maunganui to amass 349-1 on the opening day of the second and final Test against Bangladesh on Sunday.
India, Pakistan, Sri Lanka, Afghanistan and Bangladesh can beat each other on their day
Images from Day 1 of the first Test between India and Bangladesh, in Indore.
India A put on a dominant performance as they raced to 91 for one after Bangladesh declared their innings at 224 for eight on the first day of their two-day warm-up match in Hyderabad on Sunday.
Images from Monday's World Cup match between Bangladesh and Afghanistan, in Southampton.
'The crowd, the pink ball, floodlights everything was new to us. It all added to the pressure'.
The Mahmudullah-led Bangladesh defeated India in the series opener last week
It was Shami and his pace colleagues who inflicted telling blows that Bangladesh could never recover from.