Late Wednesday morning, Stephen A. Schwarzman, the chief executive of the Blackstone Group and one of Mr. Trump’s closest confidants in the business community, organized a conference call for members of the president’s Strategic and Policy Forum.

On the call, the chief executives of some of the largest companies in the country were debating how to proceed.

One option under serious consideration was disbanding the forum altogether.

If the forum does survive, several C.E.O.s were expected to resign from it.