Greig scored a goal on three shots and added two hits in Tuesday's 5-1 loss to the Sabres.
Greig got the Senators on the board in the second period. The tally snapped his five-game point drought, though he has seen first-line usage in recent contests. The 22-year-old forward has been limited to two goals, 10 shots on net, nine hits, five blocked shots and a minus-3 rating over nine appearances.