Openers Abid Ali and debutant Abdullah Shafique played out the second and third sessions comfortably in a good batting track to cut the deficit to 185 runs.
Bangladesh found themselves in trouble at 49/4 but Liton and Rahim's unbeaten 204-run partnership resurrected the hosts and they finished the first day on top after a bleak morning session.
In the T20 series which finished on Monday, Bangladesh was swept by Pakistan 3-0, extending its losing streak in T20s to eight matches. Mominul insisted they won't carry over the baggage from their dismal T20 record.
With the tournament returning after five years, nearly 10,000 hours of live coverage was offered across TV and digital platforms in 200 countries.
Both the players also skipped the recent T20 series in Bangladesh after the World Cup, which Pakistan won comfortably by a 3-0 margin.
Chasing 109, Pakistan lost an early wicket as skipper Babar Azam had to depart in the third over. But Fakhar Zaman and Mohammad Rizwan thrashed Bangladesh bowlers at every side of the ground.
The match was in the balance with three overs to go, then Shadab Khan and Mohammad Nawaz hit two sixes each and Pakistan reached 132-6 in 19.2 overs, knocking off Bangladesh's 127-7.
Pakistan fast bowler Hasan Ali has apologised for his forgettable outing against Australia in the T20 World Cup semifinal, saying he is more disappointed than anyone else and pledged to come back stronger from this bad phase of his career.
The Pakistan top-order batsman, who played a stunning innings against the mighty Australians in the semifinal of the ICC T20 World Cup, had joined the team after fighting a severe chest infection and being treated in the ICU.
Pakistan's former captains Akram, Waqar Younis, Rashid Latif, Misbah and Inzamam-ul-Haq backed Hasan and said it would be unfair to hold him responsible for Pakistan's five-wicket defeat on Thursday night.
Player of the Match Wade blazed his way to an unbeaten 17-ball effort to play a pivotal role in Australia's dramatic five-wicket victory against Pakistan here on Thursday.
After Pakistan suffered a five-wicket defeat, courtesy Wade's sensational three consecutive sixes off Shaheen Shah Afridi in the 19th over, Babar had said at the post-match presentation that the scenario of the match could have been different had the catch been taken.
Wade was on 21 from 13 balls when Ali dropped his catch at cow corner on the bowling Shaheen Afridi. The left-hand batsman went on to score 41 runs in 17 balls with three back to back sixes in the 19th over.
Chasing, David Warner made 49, while Matthew Wade smashed a 17-ball unbeaten 41 and Marcus Stoinis was not out on 40 off 31 deliveries as Australia overhauled the target with an over to spare.
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Pakistan's Australian batting consultant Matthew Hayden has no doubt that Virat Kohli has so far achieved a lot more than the younger Babar Azam but the Pakistan skipper is second to none.
The in-form Pakistan opener became the first batter to score 1000 runs in T20I in a calendar year as the wicket-keeper batsman slammed a half-century against Australia.
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Both Rizwan and Malik were down with mild flu and fever and had stayed away from training on the eve of the game. However, they have tested negative for Covid-19 twice in three days.
Pakistan batters Mohammad Rizwan and Shoaib Malik are suffering from "mild flu" and they could be doubtful starters for the T20 World Cup semifinal against Australia.
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