Steve Mason also had 29 saves and Wayne Simmonds scored for the Flyers, who had their four-game winning streak stopped.
Philadelphia won the first three on this six-game road trip, scoring four goals in each victory but was stymied by strong goaltending by Colorado.
Varlamov had several good stops throughout the game, including one on Scott Hartnell with 3:24 left. It was the second time Varlamov made a big save on the big forward.
Mason came off for an extra skater with 1:29 left and Philadelphia had several chances but couldn't get the equalizer.
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