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US President and his French counterpart had a "friendly" phone call Wednesday , promising to meet in person to repair the transatlantic relationship.

The call, which the White House said lasted about 30 minutes, was the first between Biden and Macron since France recalled its ambassador over the surprise US announcement of - scuppering a previous French deal to sell conventional submarines.

Paris called the US-Australian plan, which was launched as part of a new Indo-Pacific security group along with Britain, a stab in the back and also pulled its ambassador from Australia.

In a joint statement after the call, the two leaders vowed to launch "in-depth consultations... for ensuring confidence" and to meet in Europe at the end of October. The statement also said Macron would order France's ambassador back to Washington next week.

White House Press Secretary Jen Psaki told reporters the talk "was friendly" and Biden was "hopeful this was a step in returning to normal."

The statement said the US recognized the need for stronger European defense to complement the NATO military alliance, a key idea repeatedly floated by the French leader.

In what amounted to an acknowledgement of French anger, the English-language version of the statement issued by the White House said that the management of the dueling submarine deals "would have benefited from open consultations among allies."

The French-language version issued by the Elysee Palace was even more explicit, saying consultations "would have avoided this situation."

There was no word about where the October meeting will be but Biden will already be in Rome and Glasgow at that time for the G20 and COP26 climate summits.

At the annual United Nations summit, French Foreign Minister Jean-Yves Le Drian, after giving the cold shoulder for days, spoke with US Secretary of State Antony Blinken on the sidelines of a meeting and the two expected to meet again Thursday, a US official said.

'Good messages'

France's Naval Group said it will send a detailed invoice in the coming weeks to Australia for cancelling the contract originally worth Aus$50 billion ($36.5 billion, 31 billion euros).

As well as a huge commercial setback, the loss of the deal was also a blow to France's security strategy in the Indo-Pacific region, where it has a presence through overseas territories.

The submarine row plunged Franco-US ties into what some analysts viewed as the most acute crisis since the US-led invasion of Iraq in 2003, which Paris opposed.

After four years of tumultuous relations with ex-president Donald Trump, the spat also dashed hopes of a complete reset under Biden, who took office in January aiming to rebuild frazzled ties with Europe.

Wednesday's call sought at least to settle the mood, with the White House soon after releasing a photo of Biden smiling while speaking to Macron.

"The messages from the call are good. It was recognized that communication should have been better," said Benjamin Haddad, director of the Europe Center at the Atlantic Council, a think tank.

"The US understood that the main shock in Paris did not come so much from the commercial aspect as from the breakdown in confidence," he said.

In another welcome step for Paris, the joint statement added that the US committed "to reinforcing its support to counter-terrorism operations" in the Sahel region of Africa, where French forces are deployed to fight jihadists.

'Non-existent dialogue'

Observers and some of France's European partners had begun wondering how and when Macron would call an end to the face-off, which is playing out just seven months ahead of French presidential elections.

British Prime Minister Boris Johnson showed he was out of patience, using a French-English mix to say it was "time for some of our dearest friends around the world to 'prenez un grip' (get a grip)."

There is still no indication of France making up with Australia, which says its decision to opt for far more capable nuclear-powered submarines is part of a long-term strategy to contain China's rising presence in the Indo-Pacific.

An Elysee official, who asked not to be named, said no decision has been made on the French ambassador's return to Canberra while no call has been scheduled with Australian Prime Minister Scott Morrison.