The new filing asks the justices to use an unusual procedure to rule on a law that bans most abortions after six weeks and was designed to avoid judicial scrutiny.
Progressives balked at sending military aid to a country they accuse of human rights abuses, angering centrists and Jewish lawmakers who said the United States must support a crucial ally.
After a full day of negotiations on Wednesday, President Biden and his team are expected to continue meeting with Democrats to find a path forward for his agenda.