The House’s latest attempt is passing several “piecemeal” measures to fund national parks, the National Guard, veterans programs and the National Institutes of Health, among other things. But Senate Democrats have refused to take those up, saying the entire government needs to be reopened.

“Chuck E. Cheese calls it Whac-A-Mole,” Durbin said Wednesday referring to the family-fun chain. “That’s what they’re doing in the House.”

The House was voting Wednesday on two more mini-spending bills on military death benefits and Federal Aviation Administration funding.

Senate Minority Leader Mitch McConnellAddison (Mitch) Mitchell McConnellSenate passes 0B defense bill Overnight Health Care: New GOP ObamaCare repeal bill gains momentum Overnight Finance: CBO to release limited analysis of ObamaCare repeal bill | DOJ investigates Equifax stock sales | House weighs tougher rules for banks dealing with North Korea MORE (R-Ky.) and other Republicans have attempted to call up the House measures numerous times, but Democrats continue to object.

"We have offered 13 different compromises today to reopen the government," Sen. Rand PaulRandal (Rand) Howard PaulSenate Dems hold floor talk-a-thon against latest ObamaCare repeal bill Overnight Defense: Senate passes 0B defense bill | 3,000 US troops heading to Afghanistan | Two more Navy officials fired over ship collisions Lawmakers grapple with warrantless wiretapping program MORE (R-Ky.) said. "Why don’t we open the parts of government that we agree to."

It's unclear where the fight will go from here as each side becomes more entrenched.