Report - Whether Abducted Children 'Settled' in Israel: Can a Family Court in Israel dealing with a Hague Convention case order a report to see if the children have settled into life in Israel?

Yes, but only after one year has passed since the alleged act of abduction and the filing of the plea in court. There has been some debate about whether Israeli courts interpret the beginning of proceedings as the time when the parent applied to the Central Authority abroad or the Israeli Central Authority, or when the plea was filed in court in Israel. This has now been resolved – and the relevant time is between the act of abduction and the actual filing in court.
Abduction To Israel