The Phillies were leading 5-3 in the ninth but the Braves forged a tie when Andrelton Simmons connected for a two-out, two-run homer off closer Jonathan Papelbon (5-1).
Philadelphia quickly responded, however, when Galvis (4-for-5) went deep against Freddy Garcia (0-1) with one out in the next half-inning, enabling the Phillies to even their three-game series.
Simmons finished 3-for-4 and Freddie Freeman provided two RBI for National League East-leading Atlanta.
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