“I was happy to hear that after a week of practically ignoring congressional leaders [Obama] is now inviting them to talk … although I don’t know what the point is when he’s said he will not negotiate,” Thune said on the Senate floor. “That is a position that is completely unreasonable.”

Obama said Republicans were using "hostage taking" to get their way on ObamaCare and that he would not negotiate with blackmailers.

House Republicans have tried to attach riders to defund and delay ObamaCare, but Senate Democrats have said they would only accept a “clean” CR. House Republicans' latest attempt is passing a piece-meal spending resolution to fund some parts of government, but Obama has threatened to veto those measures.

“I get the sense that some of our colleagues on the Democratic side and the president are content with a government shutdown, but we are not,” Thune said.

Democrats have argued that they have already compromised with Republicans by agreeing to their spending level in the CR.

It's unclear where the fight will go from here, with both sides digging in for the first government shutdown since 1996. And in nearly two weeks, lawmakers will need to reach a deal to raise the debt ceiling so the government can pay its bills.