The dispute focused attention on the pro-Russia agenda of the euroskeptic League and 5-Star Movement government, which was sworn in last week and faces confidence votes in Parliament on Tuesday where its Russian Federation policy may come up.
Mr Conte was first appointed as prime minister-designate by President Mattarella to form a government on 23 May.
The breakthrough came after the League and 5-Star agreed to drop economist Paolo Savona as their choice for economy minister. The ceremony took place in Rome.
Salvini campaigned on a pledge to deport about 500,000 migrants from North Africa living illegally in Italy, with the near-bankrupt government subsidizing their care to the tune of billions.
Prime Minister Theresa May spoke to the newly sworn-in Prime Minister of Italy Giuseppe Conte this evening on the phone.
Salvini said it was "shameful" that Soros was invited to speak at the conference.
Salvini, is the head of the right-wing League and a Deputy Prime Minister in the Euroskeptic coalition.
A government coalition has finally been reached in Italy, ending a months-long stalemate that seemed to be headed towards a snap election.
Europe's populists and right-wingers cheered the new government as a slap in the face to Brussels, headquarters of the 28-nation European Union.
Zidane steps down as Real Madrid Coach
As part of United, Ronaldo had won three titles and the Champions League before he joined the Spanish team in 2009. Zidane was hired in January 2016, his first major coaching job.
Lega leader Matteo Salvini will become the deputy prime minister and minister of the interior, while M5S chief Luigi DiMaio will jointly be deputy prime minister and take over the economic development portfolio.
After the swearing-in, Salvini told reporters his first order of business would be to "reduce the arrivals and increase the expulsions" of migrants, as well as the costs associated with their care.
"We will work to realise the political objectives included in the government contract".
The coalition has also said, in a joint policy manifesto signed during their first attempt at a union, that they will push the EU to review the bloc's fiscal rules, which Mr Salvini says have "enslaved" Italians.
"Their actions so far have been a mix of extremism, anti-Europeanism and inequity". Nigel Farage, a British force behind the successful Brexit movement, advised Italy's populists to "stay strong or the bully boys will be after you".
"All the conditions have been met for a M5S-League government", the two said in a joint statement.
She pointed out that European Commission chief Jean-Claude Juncker recently called for the EU to find avenues where it can work with Russian Federation, saying "this Russia-bashing has to be brought to an end".
"We have full confidence in the capacity and willingness of the new government to engage constructively with its European partners and EU institutions to uphold Italy's central role in the common European project", Andreeva said.