Wide receiver Plaxico Burress said if the number of on-field officials were increased to, say, 10 from 7, players would get away with less.
Tagliabue said that effective immediately, all on-field officials would confer on calls in dispute.
That such an idea even surfaced indicates the gulf in negotiations between the N.F.L. and its on-field officials.
Referees are encouraged to continue developing their knowledge and skills throughout their careers as on-field officials.
They may call down to the on-field officials to stop play if they need extra time to make a review.
From the 2004 to the 2012 seasons, he served as an on-field official for the league, wearing uniform number 57.
He alone decides which plays will be reviewed and has the final say on whether on-field officials made the proper call on matters of possession.
Early games did not use any on-field officials but disputes between the players would be referred to a committee member.
The on-field officials ruled the pass complete and good for a first down.
He assumed the devil's role from the on-field officials he was judging.