The Brunei royal family's long and colorful feud over nearly $15 billion in allegedly pilfered money appears to be nearing an end.

Prince Jefri Bolkiah, youngest brother of the sultan of Brunei, was accused more than a decade ago of misappropriating $14.8 billion from the royal treasury. He was stripped of his title as finance minister and has spent most of the intervening years in exile, waging a protracted -- and losing -- legal battle with the Brunei government over control of his remaining assets. Prince Jefri has consistently...