The second Test will be played in Chittagong from September 4.
Warner's struggles on the subcontinent have been a major headache for Australia but he dug deep on Tuesday to produce his second-highest Test score in Asia.
Australia now needs to score 265 runs to win the first Test - and in case you've forgotten, the visitors only managed to notch up 217 in their first innings.
Australia, teetering on 28-2, almost lost another wicket when skipper Steve Smith appeared to have been stumped off Mehedi and walked.
The tourists resumed on 3/18 in reply to Bangladesh's 260, and they suffered an early blow when Steve Smith (8) was bowled charging down the pitch by Mehidy Hasan Miraz.
Bangladesh captain Mushfiqur Rahim was delighted to record the country's first victory over Australia.
The Australian middle order and lower-middle order succumbed to the pressure and gave in to Bangladesh spinners as they suffered a batting collapse. "We were going well and it was up to one of us to be there at the end and guide the team home".
Australia will be rightly embarrassed to have lost to a side ranked No.9 in the world who had only won nine of 100 Tests.
"Well done Bangladesh. Special effort to beat Australia". We have many batsmen to bat still in the second innings, so I think we have the edge. Bangladesh played an average innings, with veteran opener Tamim Iqbal scoring 71, while Shakib Al Hasan scored a healthy 84 in the opening innings. There is a lot of room to improve. "In this test, the wicket was pretty tough to bat on, that has to be said, because the top order also found it hard to bat".
"The boys showed character". They did miss some [catches] but it can happen.
"That's the belief we had and also our spinners did a great job", he added, saying Bangladesh would now be looking to seal the series.
After being originally left out of the Test squad for the two-match series in Bangladesh, Australian selectors have picked left-arm spinner Stephen O'Keefe as an injury replacement for pacer Josh Hazlewood despite still being under suspension by Cricket New South Wales.
Numbers don't lie. His 3568 runs from 50 Tests with five hundreds at 41.01 and 186 wickets with 17 five-fors, two 10-wicket match hauls at 32.09 are incredibly serious numbers - numbers that have put him on top of ICC all-rounders' ranking.
Two balls later, the batsman was caught in the gully by Peter Handscomb.
Warner, who faced 96 balls and hit 11 fours and a six, also had his share of luck when he was dropped by Soumya Sarkar on 14 off Shakib.
- Shikhar Dhawan's rich form continues, century helps India beat Sri Lanka
- This is why Taylor Swift's new song sounds so familiar
- NASA Scientist Weighs In on Solar Eclipse Do's and Don'ts
- Sheffield pupils pick up GCSE results in year of changes to exams
- Virat Kohli completes 4000 ODI runs in successful chases for India
- Trump May Terminate NAFTA, Reaffirms Plan to Build Wall
- MA ticket wins $758M Powerball jackpot
- This Yankees-Tigers Brawl Was the Real Deal
- Thailand's Former Prime Minister Yingluck Shinawatra Is Now A Fugitive
- Okuhara leads female shuttlers at worlds