Riaz and Hasan were seen pointing fingers during the 118th over of the Test match on Saturday which ended in a draw.
Read: 1st Test: Wahab, Shakib make late headlines as Test ends in draw
Misbah had to jump in to save the day; he was later seen talking to the umpire Ranmore Matinesz in order to ease the tension.
The two players have been fined equivalent to 30 percent of the match fee.
Bangladesh cricketer Tamim Iqbal had smashed team's highest Test score of 206 during the match held yesterday.
The draw was a morale-booster for Bangladesh, who had lost all their eight previous Tests against Pakistan, ahead of the second and final match starting in Dhaka next Wednesday.
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