Ali was reportedly jailed for three years at Sheffield Crown Court and released in 2008, when the Home Office ordered that he return to Sudan and he was locked up in an immigration removal centre.
But he appealed to an immigration court and though a judge rejected his bid, he mounted a fresh appeal to the Upper Tribunal Immigration and Asylum Chamber, the Mail on Sunday reported.
He was allowed to stay because deporting him, the court ruling showed, would be contrary to the United Kingdom's obligations under the European Convention on Human Rights.
More top news
PM Malcolm Turnbull said people convicted of terrorism-related charges would be held indefinitely if they pose an ongoing threat to society.
Democratic National Committee chair Debbie Wasserman Schultz stands down after leaked emails show party actively favoured Hillary Clinton.
The pair, believed to be the boy's mother and stepfather, were held after the five-year-old's lifeless body was discovered in a lagoon.