The deal under discussion would fund the department except for the part of Immigration and Customs Enforcement charged with arresting and deporting undocumented immigrants.
A day after President Trump said he did not want a compromise, Republicans were exploring breaking off ICE funding so the rest of the Department of Homeland Security could reopen.
The president is using the standoff over funding the Department of Homeland Security as leverage to pass a strict voter ID bill. Critics say the bill would place an undue burden on eligible voters.