The meeting came as divisions grow in Europe over the proposed tariffs
Shakib fell four runs short of his century when he charged down the pitch to a James Tredwell delivery but failed to make contact and was stumped by Matt Prior as the hosts were all out for 285 in their second innings.
Bangladesh began the day on 172-6 and appeared to be heading towards safety with nightwatchman Shafiul Islam assisting Shakib nicely until off-spinner Tredwell broke their stubborn 63-run seventh wicket partnership.
Jonathan Trott took a simple catch at deep midwicket off Tredwell in the second over after the new ball was taken to dismiss Shafiul on 28.
Bangladesh then suffered a body blow when their last recognised batsman Naeem Islam gifted Tredwell his second wicket in the morning, sweeping needlessly to be caught by Kevin Pietersen at mid on for three.
Debutant paceman Steven Finn took the final wicket of the session when he trapped Abdur Razzak lbw for eight in the final scheduled over of the morning.
England won the opening test by 181 runs in Chittagong last week.
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