Coming off a disappointing loss to Philadelphia, Phoenix took control of what was a tight-checking game with three goals in the second period.
Unlike Saturday, when they blew a pair of two-goal leads, the Coyotes kept pushing behind Greiss' second career shutout to win in regulation for the first time since beating the Islanders on Dec. 12.
Reto Berra allowed at least five goals for the third time this season, and the Flames were shut out for the fourth time in six games. Calgary has lost nine of 11.
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