A federal judge overseeing the $9.6 billion Deepwater Horizon settlement with BP PLC has given the parties until Wednesday to suggest the best way to halt payments on some claims as required by a recent federal appeals decision.

The U.S. Court of Appeals for the Fifth Circuit found on October 2 that problems with the calculation of oil spill claims raised by BP merited a preliminary injunction on those claims. The split ruling reversed two earlier orders by U.S. District Judge Carl Barbier in New Orleans upholding the claims process and refusing BP an injunction.