The city is trying to bring together school bus companies and drivers to end their work stoppage.
NY1 has learned Mayor Michael Bloomberg is arranging a meeting between the companies and union leaders Monday at Gracie Mansion.
The strike is now in its second week.
The New York office of the National Labor Relations Board has finished a review of a complaint brought by the bus companies.
The companies had complained the strike is illegal.
The conclusion of the New York office has not been revealed, but the findings have been passed to the Washington headquarters, where a ruling is expected in the next few days.
A federal judge would still have to issue an injunction to order workers back on the job even if the board sides with the bus companies.