Monday's game was postponed after Bills safety Damar Hamlin collapsed in the first quarter.
Hamlin had collided with Bengals wide receiver Tee Higgins and suffered a cardiac arrest. He was resuscitated on the field, then rushed to the University of Cincinnati Medical Center.
The Bills player has remained in hospital in critical condition, but the NFL has started to look at potential resolutions for the suspended game.
Troy Vincent, executive vice president of football operations for the NFL, ran through various considerations in a conference call with reporters on Wednesday.
While looking at all options, Vincent said the league would be guided by Bills head coach Sean McDermott.
"My concern is making sure the men have what they need to function," Vincent added.