The world number 31 was broken twice in the second set but regained her composure to stave off the fightback from the Italian, ranked 74.
Number three seed Pliskova made a brisk start in her semi-final against Alison van Uytvanck, winning the first four games, but the Belgian fought back to win the second set and square the match.
World number 36 Pliskova suffered an early break in the decider but recovered to win 6-1 4-6 6-4 after a gruelling two-hour match.
(Writing by Sudipto Ganguly in Mumbai; editing by Alan Baldwin)
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