Former Washington Mutual chief executive officer Kerry Killinger and two other bank officials are in settlement talks with the Office of the Comptroller of the Currency, the last chapter in the government’s probe of the largest U.S. bank failure.

The regulator is weighing a settlement with Killinger, former chief operating officer Stephen Rotella and David Schneider, former head of the home-loan division, over claims they mismanaged the Seattle-based thrift, according to a person who was briefed and spoke on condition of anonymity because the talks aren’t public.