Bangladesh's batting crumbled for a second time at the Harare Sports Club on Sunday but the tourists remain on course to win their only warm-up game against a Zimbabwe XI before next week's one-off Test.
At the close of the second day, the hosts were struggling in their quest for the 223 they need for victory having scored just three runs for the loss of opener Tino Mawoyo and number three Kyle Jarvis.
Resuming on 42 for four in their first innings, Zimbabwe slipped to 113 all out on Sunday morning, conceding a deficit of 75, as Shafiul Islam and Rohiul Islam took three wickets each.
When Bangladesh batted again, they continued to find it hard going on a pitch that Zimbabwe bowling coach Heath Streak described as "two-paced and rather unreliable."
Shakib Al Hasan top-scored with 40 as the Bangladeshis were bowled out for 147, setting the hosts 223 to win.
The match is being played under special rules that allow 13-a-side with only 11 batting and 11 on the field at one time.
Zimbabwe are fielding only five of the possible Test team that will face Bangladesh here from Thursday. It will be Zimbabwe's first Test since they were thrashed by New Zealand on home soil in 2005.
The two sides will also play five one-day internationals.
Brief scores
Bangladeshis 188 and 147 (Shakib 40, Utseya 3-25)
Zimbabwe XI 113 and 3 for 2 (Islam 1-0)
Status Zimbabwe XI need by 221 runs to win
