John Campbell and Shai Hope put on an opening stand of 196 runs as West Indies registered a landslide 196-run win over Ireland in the first ODI of the tri-series also involving Bangladesh.
England and West Indies will play five ODIs between February 20 and March 2.
Bravo and captain Jason Holder, 19 not out off 58 balls, navigated the last 19 overs safely to ensure West Indies won the day.
Cottrell, aided by fellow fast bowler Oshane Thomas (1-33), ripped through the top order with a barrage of short balls.
The West Indies collapsed around Hope, who carried the bat throughout the innings for his fourth ton to steer the side to 198/9.
Bangladesh made 255-7 and Hope single-handedly thwarted the hosts with a career-best ODI knock.
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