The Supreme Court on Thursday seemed open to lifting a series of nationwide orders blocking President Donald Trump from enforcing his birthright citizenship policy even as several of the justices wrestled with the practical implications of allowing the government to deny citizenship to people born in the US.

The Supreme Court appeared divided after hearing arguments Thursday about the power of lower courts to issue nationwide injunctions, including rulings that have blocked President Donald Trump’s executive order restricting the guarantee of birthright citizenship nationwide.

The justices are considering whether to limit the authority of federal judges to issue nationwide injunctions that have blocked key parts of the Trump agenda until they can be heard in court.