Updated at 6:17 p.m.

Leaders at the Capitol emerged Tuesday from the latest negotiations since the shutdown began with little progress to announce.

In fact, things may have taken a step backward.

Republicans renewed their request for the governor to call a special session so they could pass a "lights on" bill and those budget bills where spending targets are close -- though vast policy differences remain. Dayton dismissed that strategy because he said it would require "offsetting cuts" to other areas.

Though Republicans had at one point offered a budget that spent more than the original $34.2 billion, they said Tuesday that they were now working again with their original target. Zellers noted that Dayton rejected their revenue offer.

"That's the only thing that we have on the table right now," Zellers said of their $34.2 billion target. "Our last offer was rejected."

The group agreed to hold a meeting Wednesday on the Health and Human Services budget and another Thursday on the K-12 budget.

While Dayton has repeatedly rejected calls for a so-called "piecemeal" approach to passing the budget, Koch said they will keep pushing for it.

"It's not an OK answer just to say say, 'I don't like piecemeal,'" Koch said. "If we have areas where we can agree, we should."

Dayton said they can only solve the problem by tackling the hardest areas and developing a global deal.

"The way we're going to get the most intractable pieces -- such as Health and Human Services, such as additional revenues -- resolved is by having it all be in one package," Dayton said.

Total progress from the Tuesday meeting? Dayton said not much.

"I'm not hopeful any more than I was before the meeting, because I think we've got the same gulf between us that we've had all along," Dayton said.

Over the weekend, Dayton said he encoutered three former governors -- Al Quie, Arne Carlson and Jesse Ventura -- at George Pillsbury's 90th birthday party. He spoke to Ventura for the first time since he took office.

"Governor Ventura just said he doesn't envy the situation I'm in," Dayton said. "I said I don't envy it either."