Eban moved back to London briefly to work in the Jewish Agency's Information Department, from which he was posted to New York, where the United Nations General Assembly was considering the "Palestine Question".
Eban flyttede tilbage til London for at arbejde i informationsafdelingen til Jewish Agency, og blev senere sendt til New York, hvor FN's generalforsamling var i færd med at behandle "Palæstinaspørgsmålet".