Brian Lara, who had threatened to resign as captain if West Indies failed to beat Bangladesh in the second and final Test in Kingston, helped keep his job safe with a timely century on the second day on Saturday.
Lara (119) and Ramnaresh Sarwan (106 not out) put on 179 for the third wicket and the West Indies closed the day on 294 for three in reply to the visitors' 284.
Bangladesh had started the day on 264 for nine and added 20 to their overnight score before Pedro Collins had Tapash Basiya caught for 48.
The first Test in St Lucia was drawn amid embarrassment for the home side. It was only the third draw for the Bangladeshis in 29 Tests and they still await their first victory.
Scorecard:
Bangladesh first innings (overnight 264-9)
Hannan Sarkar lbw b Collins 0
Javed Omar c Jacobs b Edwards 20
Habibul Bashar c Banks b Collins 20
Rajin Saleh c & b Banks 47
Mohammad Ashraful c Sarwan b Banks 16
Manjural Islam c Jacobs b Best 7
Mushfiqur Rahman st Jacobs b Banks 22
Khaled Mashud c Banks b Edwards 39
Mohammad Rafique c Collins b Banks 30
Tapash Baisya c D.S.Smith b Collins 48
Tareq Aziz not out 10
Extras (b-4 lb-7 nb-12 w-2) 25
Total (all out, 95 overs) 284
Fall of wickets: 1-0, 2-37, 3-54, 4-88, 5-97, 6-145, 7-152, 8-192, 9-238
Bowling: Collins 19-2-64-3 (nb-3), Edwards 20-5-66-2 (nb-7 w-1), Best 20-4-53-1 (nb-2 w-1), Banks 31-5-87-4, Sarwan 2-2-0-0, D.R.Smith 3-1-3-0
West Indies first innings
C.Gayle c Khaled Mashud b Tareq Aziz 14
Devon Smith run out (Mohammad Ashraful) 44
R.Sarwan not out 106
B.Lara c Khaled Mashud b Mohammad Rafique 119
T.Best not out 1
Extras (lb-6 w-1 nb-3) 10
Total (for 3 wickets, 83 overs) 294
Fall of wickets: 1-26, 2-109, 3-288
To bat: S.Chanderpaul, Dwayne Smith, R.Jacobs, O.Banks, P.Collins, F.Edwards.
Bowling: Tapash Baisya 14-3-57-0 (w-1), Tareq Aziz 12-2-45-1 (nb-3), Mushfiqur Rahman 19-3-62-0, Mohammad Rafique 19-1-61-1, Manjural Islam 18-2-63-0, Mohammad Ashraful 1-1-0-0