PARIS — European leaders are racing to save the euro from impending breakup, as momentum gains for a radical proposal in which countries that use the common currency would cede control of a big chunk of their budgets to a central authority.

In the run-up to the next European summit on Dec. 9, hopes were rising that, with their backs to the wall, leaders will finally come up with a solution that will once and for all bring an end to a crisis that has threatened to wreck the global economy.

A raft of hitherto taboo ideas gained sudden prominence today.

Chief among them: a fast-track move to a fiscal union between the 17 countries that share the euro — a proposal some say would be a big leap toward a United States of Europe. Such a move could greatly enhance European stability, but at a cost, critics say, of national sovereignty and democratic accountability.

Another plan being aired in the face of fierce German resistance is for the eurozone’s six triple A rated nations to pool their resources through a joint bond to prop up some of the single currency bloc’s most indebted members. Germany, the EU’s richest member, rejects the idea because it fears it would be tapped for the lion’s share of the bailout.

Markets rallied today amid optimism for a bold breakthrough.

The Stoxx 50 index of leading European shares closing up 3.6 percent and the euro rising 0.4 percent to $1.3337. Bonds yields which rose alarmingly last week stabilized.

“There appears to be a sense of greater urgency among eurozone leaders after some very worrisome developments last week,” said Vassili Serebriakov, an analyst at Wells Fargo Bank.

A critical test comes Tuesday when European finance ministers meet for a summit in Brussels and Italy tries to tap markets for billions more in cash. U.S. President Barack Obama was meeting top EU officials Monday at the White House to discuss the crisis.

Whatever materializes, the euro is in grave danger — with experts saying the currency could fall apart within days without drastic action.

Such a breakup could have catastrophic effects around the global economy. Among the unappetizing prospects are massive bank runs, the seizing-up of the global financial system, and chaotic currency fluctuations for those that go back to their historic money.

Bankruptcies could cascade across the continent with euro-denominated contracts plummeting in value overnight. If Germany broke from the euro, its national currency would skyrocket, severely damaging its export-oriented economy. If struggling Greece or Italy left, their currencies would plummet — making them unable to repay their euro-based debts.

The result for the world economy could be worse than the fallout from the 2008 Lehman Brothers collapse.

“Everyone knows that if the eurozone crashes the consequences would be very dramatic and in the race after that there would no winners, just losers,” said Finland’s finance minister Jutta Urpilainen.

Evolution Securities economist Gary Jenkins said a series of government bond auctions this week “may determine the future of the EU.”

Financial Times columnist Wolfgang Munchau wrote today that the common currency “has 10 days at most” to avoid collapse and big decisions need to be taken, including moves to a fiscal union and the creation of a common treasury with wide-ranging powers.

As experts predicted the endgame for the euro, Europe buzzed with talk of a central treasury authority for the eurozone — an idea that just a week ago would have seemed impossible.

Unlike the United States, which has centralized institutions in Washington, D.C., for raising taxes and spending, the eurozone has 17 independent treasuries with little oversight from Brussels. That would change under the fiscal union proposal being aired ahead of the EU leaders’ summit in less than two weeks.

While not explicitly backing such a move, Germany and France, the eurozone’s two biggest economies, have promised to propose new measures that will make the 17 operate under strict and enforceable rules — the hope being that no country, however small, can wreak such damage again.

The idea of fiscal union is controversial not least because it raises fears among some members that economic policy around Europe will be run by the EU’s biggest player: Berlin.

But with Europe on the brink, it may be a price that many nations are willing to accept.

Already, the Paris-based OECD is warning that the global economy is in for a hugely rocky road over the coming months ahead. In its half-yearly report Monday, it said the continued failure by EU leaders to stem the debt crisis that has spread from Greece to much-bigger Italy “could massively escalate economic disruption” and end in “highly devastating outcomes.”

The latest bout of turmoil to afflict the eurozone came last week after Germany failed to raise all the money it wanted in a bond auction and Italy had to pay through the roof to get investors to part with their cash.

If a busy bond schedule this week meets — Italy is planning to raise euro8 billion ($10.7 billion) on Tuesday — with an equally poor reception, then the euro’s countries will be in real danger of being locked out of international markets and facing the devastating prospect of defaulting on their debts.

Germany, as Europe’s only powerhouse economy, would then have to decide whether to bail its partners out — or bail out itself.

As governments nervously tap bond markets, Germany appeared to be readying to ask its eurozone partners to back measures for deeper fiscal union.

“The common currency has the problem that the monetary policy is joint, but the fiscal policy is not,” Germany’s Finance Minister Wolfgang Schaeuble said in a meeting with foreign reporters in Berlin. “Consequently, we are working now to expand the common currency through a common stability policy.”

Schaeuble said the proposal, which Chancellor Angela Merkel is to bring up during the Dec. 9 EU summit, would only require passage by the 17 eurozone member states, although the other ten EU countries, such as Poland and Sweden, would be welcome to adopt it if they wanted.

However, analysts said such a move would take a long time to come to fruition.

“We do seem to be moving slowly towards more of a fiscal union but at a pace that may result in all the components being put in place after a complete meltdown of the financial system,” Evolution Securities’ Jenkins said.

Many think the European Central Bank is the only institution capable of calming frayed market nerves and German Chancellor Angela Merkel’s continued dismissal of a greater ECB role has frayed market nerves.

“The ECB has the means to provide a credible measure to avoid further contagion in the sovereign bond markets,” the OECD’s Chief Economist Carlo Padoan said. “And if you ask me if that is the lender of last resort function, I would say yes.”

Potentially, the ECB has unlimited financial firepower through its ability to print money. However, Germany finds the idea of monetizing debts unappealing, warning that it lets the more profligate countries off the hook for their bad practices. In addition, it conjures up bad memories of hyperinflation in Germany in the 1920s.

So far, the ECB has been reluctant in taking on a bigger firefighting role. Current rules only allow it to buy up government bonds in the markets on condition that it sells an equivalent amount of assets.

Though figures today showed that it stepped up its purchases in the markets last week to euro8.6 billion ($11.48 billion) from euro8 billion ($10.68 billion) the week before, analysts think that’s not enough to keep a lid on countries’ borrowing rates. Italy’s main ten-year bond yield stands at over 7 percent, the threshold that eventually proved too costly for Greece, Ireland and Portugal and led them to seek financial help.

One proposal that’s often been touted as another key pillar of a long-term solution is the issuance of eurobonds, whereby the 17 euro nations pool together to raise money in the markets. Again though, Germany has opposed the principle of eurobonds since it would expose its taxpayers to the bad debt of weaker countries.

A variant of that emerged today with a report in Germany’s Die Welt newspaper that the six eurozone countries with a triple A rating would issue bonds together. So-called “elite bonds” would be used to support the fiscally-endangered.

Germany’s Schaeuble said the report was “completely made up.”