Other issues also were being discussed with league executives, according to a person with knowledge of the meetings. The person spoke on condition of anonymity because the talks are not being made public.
The league would not comment on the meetings, which also included discussions of HGH testing.
Also on hand was NFL Players Association President Domonique Foxworth, who was elected to that position last month.
Browns coach Pat Shurmur said on a conference call with Cleveland media Monday that Fujita missed the team's first offseason training session because he was in New York.
The NFL investigation found that Payton initially lied about the existence of a bounty program and instructed his defensive assistants to do the same.
The Saints have been fined $500,000 and stripped of two second-round draft picks. General manager Mickey Loomis is suspended for the first eight games of the upcoming season, while interim head coach Joe Vitt - who took over that role Monday as Payton began his suspension through the Super Bowl - will be barred for the first six regular-season games.
Williams has apologized for his role in the bounty program.
The league's investigation found that Williams' bounty system offered off-the-books cash payments of $1,500 for "knockouts," in which an opposing player was knocked out of a game, or $1,000 for "cart-offs," in which an opponent needed help off the field.
Last summer, the NFL announced it would begin testing for human growth hormone, but the union had to approve the process. The players have yet to do so, citing uncertainty about the detection methods and appeals process.
The sides have been stalemated on HGH testing ever since.
AP Sports Writer Brett Martell in New Orleans contributed to this story.