The Supreme Court grappled Wednesday with an appeal from an Oklahoma death row inmate who even the state’s conservative attorney general believes should not be executed, with some justices signaling a willingness to let state courts further review allegations that prosecutors withheld evidence in the case.

The Supreme Court appeared closely divided Wednesday over whether to order a new trial for Oklahoma death-row inmate Richard Glossip, whose case attracted support from across the political spectrum after independent investigations revealed prosecutorial misconduct.

Some justices said the court was powerless to grant relief to the inmate, Richard Glossip. Others seemed ready to order a new trial or at least an evidentiary hearing.