Greer scored a goal on four shots and added four hits in Monday's 5-2 loss to the Rangers.
Greer tallied with 33 seconds left in the game. The 29-year-old forward has already shuffled around the lineup a fair amount this season, but it remains likely most of his ice time will be in a bottom-six role. He has two points, 16 shots on net, 18 hits, six PIM and a minus-4 rating over seven appearances.