A Friday meeting between Gov. Phil Murphy and the leaders of the state Senate and Assembly ended in "a total breakdown" in state budget negotiations, sources from the Murphy administration and the New Jersey Legislature told NJ Advance Media.

A state government shutdown after the June 30 budget deadline "is a distinct possibility," according to one administration official who is not authorized to speak publicly about the talks and spoke on the condition of anonymity.

State Senate President Stephen Sweeney confirmed the meeting did occur.

Sweeney, along with state Assembly Speaker Craig Coughlin, also announced they will now push to pass their own version of a state budget next week that will not include Murphy's plans to raise the sales tax back to 7 percent and enact a millionaires tax.

"The good news is: We asked for meetings and we got it. We had a couple of meetings. At least now we're talking," Sweeney said in a news conference at the Statehouse. "We're not going to wait until June 30 to pass a budget. That's when all the mischief takes place."

Sweeney also called on Murphy, a fellow Democrat, to restore millions of dollars in funding to "Democratic priorities," including funding for underfunded school districts.

If these items are not included in the budget, Sweeney said, there will be no budget by July -- and that could spark the second state government shutdown in as many years.

"We never thought we'd be fighting a Democratic governor over Democratic priorities," Sweeney, D-Gloucester, said during a news conference at the Statehouse in Trenton. "But these programs represent New Jersey values. If you cut them out, you change who we are as a state. We did not come this far to go backwards."

"When you make cuts, they're not just numbers on a piece of paper," Sweeney added. "They're people. They are impacts on people."

Sweeney noted that part of the reason the state government shut down last July over a state budget dispute was to protect these items, which include funding for cancer research, prisoner reentry programs, tourism and court-appointed special advocates for children.

"And we're gonna fight again this year, because we don't want to shut the government down." he added. "We want to pass a budget. But we're not going to let our priorities as a Legislature get left behind."

Still, Sweeney said: "No one wants to shut the state government down."

Coughlin, who wasn't at the news conference with Sweeney, confirmed in a statement he expects to have a budget passed by next week -- with or without the governor's support.

"While we would hope that the governor continues negotiating with the Legislature to arrive at a mutually acceptable outcome, it is my expectation that the Assembly will pass a budget on the 21st that protects taxpayers and our priorities for New Jersey's working middle-class families," said Coughlin, D-Middlesex.

Around the same time, the governor issued a statement that criticized the budget tactics of his Republican predecessor, former Gov. Chris Christie, suggesting the Democrats who lead the Legislature were following suit.

"For the past eight years, Gov. Christie cut irresponsible budget deals that weakened New Jersey's economy and hurt our middle class, resulting in 11 credit downgrades," Murphy said.

"I refuse to do that," he added. "New Jersey deserves a real budget that offers real solutions."

"I have a simple approach: Fix what's broken and make sure that everyone is paying their fair share," Murphy continued. "New Jersey didn't elect me to paper over problems with the same failed policies of the past."

Sweeney said lawmakers have put together a budget they will present to members Monday, consider in committee Tuesday and pass on Thursday.

He stressed there's a possibility they could work out a deal with Murphy in that time.

"We're going to continue to try to come to a compromise," Sweeney said.

The Legislature will counter the governor's proposed budget with one that combines tax increases on corporations, a tax amnesty program, spending cuts and projected savings in employee health care costs.

Sweeney wants a 3 percentage point increase in the tax rate paid by corporations with profits over $1 million that would expire after two years. At 12 percent, the tax rate would tie with Iowa for the highest in the U.S., though Iowa's kicks in at $250,000 and allows deductions for federal income taxes paid.

Sweeney has said it is better to take a slice of the windfall business received from the federal corporate tax cut than to pile onto wealthy residents who won't be able to deduct as much of their state and local taxes because of that same federal tax reform.

The Legislature's proposed budget will also project $150 million in income from a tax amnesty program that allows delinquent taxpayers to settle up with the state.

Amid a battle over N.J.’s state budget, @NJSenatePres is calling on @GovMurphy to restore funding for “Democratic priorities,” including money to underfunded school districts and more. “There’s not enough talk on these programs and too much talk on taxes.” pic.twitter.com/jX4T1fX4RI — Brent Johnson (@johnsb01) June 15, 2018

Two administration officials said there were two meetings Friday. The first lasted an hour. The second, which started around noon, lasted only 13 minutes, one source said.

"Cordial meeting," one official said. "But we are far apart."

The administration sources said Sweeney presented a plan that would add a $200 million hole in the budget, but they didn't provide specifics on that plan.

Murphy introduced his first state budget proposal -- a $37.4 billion spending plan -- in March. It relies on more than $1.5 billion in tax increases, including a millionaires tax and bump in the state's sales tax, to help pay for more funding for education, public worker pensions, transportation and more.

If the Legislature goes ahead with passing its own budget, rather than a negotiated deal, Murphy has the option to veto it in part or in full.

If a budget isn't signed by June 30, the state government could shut down again. That means state parks, beaches and many public agencies would remain shuttered until a budget is enacted.

NJ Advance Media staff writer Brent Johnson contributed to this report.

Matt Arco may be reached at marco@njadvancemedia.com. Follow him on Twitter @MatthewArco or Facebook.

Samantha Marcus may be reached at smarcus@njadvancemedia.com. Follow her on Twitter @samanthamarcus.