Senate leaders are hoping to save a six-bill spending package while easing Democratic concerns about immigration policy.
A growing number of Republicans, including some Trump allies, are questioning or criticizing the Trump administration's response to the killing of Alex Pretti.
Congress has until Friday evening to pass the appropriation bills to keep the government running.
More Democrats in Congress are looking to condition their support for a DHS funding bill on securing more guardrails for ICE.
A proposed 5 percent raise in Coast Guard funding hangs in the balance as Congress fights over Department of Homeland Security spending.