Hamrlik was hurt during the first period of Sunday's 3-2 loss at Edmonton.
Jason Arnott, the center on their top line, said he injured his left knee during the second period of the Devils' 3-2 loss.
Messier said he was originally injured in the third period of Sunday's 7-2 loss in Washington.
Reekie was injured while blocking a shot in the second period of Chicago's 2-1 loss to Boston on Monday.
Messier was given a two-minute roughing penalty during the third period of the Rangers' 4-1 loss.
The symptoms first arose in the third period of Pittsburgh's 5-4 loss to the Rangers here last Saturday night.
Kvasha, a 6-foot-5, 230-pounder with a wide wingspan, was injured in the second period of the Islanders' 4-1 loss to Carolina.
Potvin was injured midway through the third period of Friday night's 2-1 loss to the Nashville Predators.
That last aspect of their game had been fleeting this season and was evident only in the final period of Wednesday's 4-3 loss.
Smith injured his hand in the third period of Sunday's 6-1 loss at Anaheim.