Mr Hollande was sworn in for a five-year term at the Elysee Palace in central Paris.
They were announced at his first full press conference at the Elysee Palace since his election seven months ago.
The Elysee Palace has denied Mr Sarkozy benefited from any funding from Libya.
Hollande called a meeting of France's defense council at the Elysee Palace Saturday afternoon to discuss the situation in Mali.
The report was met with silence from the Elysee Palace, the French president's office, which did not respond to requests for comment.
Two-thirds of French people think he should, but the Elysee Palace has said the country's constitution bars him from testifying in any criminal investigation.
On Friday they were received at the Elysee Palace, where they restated to President Hollande their insistence that the issue be put to a referendum.
"The government is aware of the difficulties we face, in particular in terms of our public accounts, " she told reporters after the meeting at the Elysee Palace.
L'Express said a cyber war agency whose job it is to detect and prevent hacking had found a "powerful worm" in the computers of the Elysee Palace.
"French military forces have brought their support to the Malian forces this afternoon to fight against these terrorist elements, " said Hollande, speaking from the Elysee Palace in Paris.
French President Francois Hollande offered his condolences to the families of the victims and expressed France's "complete solidarity with the American authorities and people", in a statement from the Elysee Palace.
His Socialist party controls the Elysee Palace and parliament.
The signature took place at a ceremony at the Elysee Palace in Paris, hosted by the president of France, Jacques Chirac, and by the president of the European Commission, Jose Manuel Durao Barroso.
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After the four-hour summit, Mr Cameron will travel to Paris to meet French President Francois Hollande at the Elysee Palace where co-operation on tax evasion and avoidance as well as tackling corporate secrecy will again be on the agenda.
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Suu Kyi's trip will end in Paris, where she will be a guest of French President Francois Hollande from June 26 to 29 in honor of her "fight for democracy and the rights of man and to reaffirm France's will to support the political transition in Myanmar, " according to the Elysee Palace.
"The president of the French Republic confirms with certainty the death of Abdelhamid Abou Zeid after an offensive by the French army in the Adrar des Ifoghas (mountains) in the North of Mali, at the end of February, " the Elysee presidential palace said.
The leaders of 17 nations sat at an arc-shaped table in the opulent Salle des Fetes of France's Elysee Palace, the same room used to sign the Bosnia peace accords, for the signing of the Founding Act on Mutual Relations, Cooperation and Security.
Indeed, just hours after his would-be assassin had been wrestled to the ground, the French head of state was hosting a garden party for the public, on a packed Elysee Palace lawn, grabbing the microphone like a seasoned compere.
An unnamed Elysee Palace official quoted by AFP said on Sunday that French armed forces had been surprised by the fighting quality and the equipment of the militants they were up against.
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