Dinesh Karthik became an instant hero after his last-ball, title-winning six against Bangladesh in the Nidahas Trophy.
Bangladesh cricket authorities expressed regret over disciplinary incidents during Friday's ill-tempered T20I against hosts Sri Lanka.
Shakib was found to have breached Article 2.1.1 of the ICC Code of Conduct for Players and Player Support Personnel, while Nurul was found guilty of violating Article 2.1.2.
Pictures have emerged of a window of Bangladesh's dressing room completely shattered.
Shakib Al Hasan, angry with an umpiring decision, waved to call the batsmen back to the pavilion.
Bangladesh, who have also beaten the same opponents earlier in the tournament, secured four points from four matches to enter the final.
Highlights, Sri Lanka vs Bangladesh, 6th T20I: Tamim Iqbal and Mahmudullah starred with the bat as Bangladesh beat Sri Lanka by two wickets.
How to watch Sri Lanka vs Bangladesh, 6th match of the Nidahas Trophy - T20I tri-nation series. Read all about live coverage and match action from R.Premadasa Stadium, Colombo on March 16.
The tour will begin on October 10 with a day-night ODI at Dambulla, Sri Lanka Cricket said in a statement.
Rohit Sharma-led India outclassed Bangladesh on Wednesday by 17 runs to reach the finals of the tri-nation tournament.
Both teams have two points with a victory each.
Shakib Al Hasan, who normally skippers Bangladesh's short-format side, was ruled out of the tournament after sustaining a finger injury
Suresh Raina has come back into the Indian team after a long phase outside.
MS Dhoni has been rested for the Nidahas Trophy tournament in Sri Lanka.
Rohit Sharma-led team India face Bangladesh in the 5th match of Nidahas Trophy on March 14.
Overall, KL Rahul is the tenth batsman to be dismissed hit wicket in the shortest format of the game.
A clinical India defeated Sri Lanka comprehensively by six wickets to continue their their winning run in the Nidahas Twenty20 Tri-Series on Wednesday.