Of the many courses of action discussed by OpenAI CEO Sam Altman when he testified before Congress earlier this week,  the creation of a global body to manage the governance of AI came up several times.   The International Atomic Energy Agency and  CERN were mentioned as models.  
For now, the 2023 G7 Summit meeting in Hiroshima, Japan this weekend is the initial filter we are applying to the potential for global collaboration specific to the risks and opportunities of artificial intelligence. The Center for Strategic and International Studies (CSIS) has done some great work on this topic.