Italy's Prime Minister-designate Giuseppe Conte gave up on efforts to form a government on Sunday after the president rejected his pick for the economy ministry, increasing the likelihood of another election this year.

Conte, a little-known law professor with no political experience, took his list of ministers to President Sergio Mattarella in a bid to end a two-month political stalemate.

But the president rejected Conte's candidate to the Economy Ministry, the 81-year-old eurosceptic economist Paolo Savona.

Before Conte or Mattarella had finished their meeting, far-right League leader Matteo Salvini said that the only option now was to hold another election, probably later this year.

"In a democracy, if we are still in democracy, there's only one thing to do, let the Italians have their say," Salvini said in a fiery speech to supporters in central Italy.

Salvini and 5-Star leader Luigi Di Maio had met Mattarella informally on Sunday to try to find a solution.  

"The problem is Savona," the coalition source said, explaining that the economist had not sufficiently softened some of his more eurosceptic positions.

On Sunday, Savona tried to allay concerns about his views in his first public statement on the matter. He has been a vocal critic of the euro and the European Union, but he has distinguished credentials, including as industry minister in the early 1990s.

"I want a different Europe, stronger, but more equal," Savona said in a statement.

Last week Savona's known criticism of the euro and German economic policy further spooked financial markets that were already concerned about the future government's willingness to reign in the massive national debt, worth 1.3 times its annual output.

Outgoing Economy Minister Pier Carlo Padoan said on Sunday that the problem was not Savona, but the coalition's economic plan, which is "clearly unsustainable".

Padoan also said the parties should have vocally ruled out a proposal put forward in Savona's most recent book, which said Italy should draw up a "plan B" for the country to leave the eurozone with as little damage as possible if it should prove necessary.

In his statement, Savona said his position on debt was the same as that forged by the potential coalition allies in their programme - which says it will be reduced not through austerity or tax cuts, but through targeted investments and policies that boost economic growth.

Savona has had high-level experience at the Bank of Italy, in government as industry minister in 1993-94, and with employers' lobby Confindustria. But his critical stance on the euro has been the focus of concern.

In Sunday's statement Savona did not refer to his opinions on the euro, but more than 70 slides outlining a "plan B" for Italy's exit from the euro, co-authored by Savona in 2015 with a dozen others, circulated on social media. 

5-star leader Luigi Di Maio said the President Sergio Mattarella's rejection of Savona as economy minister was "unacceptable".

"It's an institutional clash without precedent," Di Maio said on a live-streamed Facebook video.

"What's the point of going to vote if it's the ratings agencies that decide?" he added. 

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