Bipartisan efforts in the U.S. Senate to reopen the federal government as early as this week gave way to fresh signs of frustration on Tuesday, even as Republicans and Democrats aired details of a possible path out of the five-week-old impasse.

Democrats hold a 33-32 advantage in the state Senate, but the resignation of DFL Sen. Nicole Mitchell and the death of Republican Sen. Bruce Anderson have left two spots open. Tuesday's outcomes could solidify the DFL's one-seat majority or hand the chamber over to the GOP.

Mr. Padilla, a Democrat, held an impromptu news conference to announce he would not run for California’s top office.

Two seats became open in the narrowly divided chamber after one senator died this summer and another was convicted of burglary.

The Trump administration is indicating in court that it will only partially fund the federal food assistance program as the government shutdown reaches into a second month