Hollande met with economy minister Arnaud Montebourg and prime minister Manuel Valls at the Elysee palace, according to a statement from the president's office.
Energy minister Segolene Royal also took part in the meeting to discuss Alstom's jobs, industrial presence and the impact on France's energy independence, according to the statement.
Earlier today, Montebourg said France's national interest is at stake in a potential sale of engineering giant Alstom, warning the company against making a hasty deal with General Electric Co.
Montebourg said in a statement that the government wants time to examine a separate offer from German rival Siemens aimed at creating two "European champions" in transport and power engineering.
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Montebourg said that "given the strategic stakes for French industry and economy, the government won't accept any precipitous decision made without taking account of alternative choices in the national interest."
The government "wants to have the time to make a serious examination of the proposals," Montebourg said.
Earlier today, Siemens said it was prepared to discuss a tie-up with rival Alstom.
Siemens says it sent the Alstom board a letter "to signal its willingness to discuss future strategic opportunities," but declined to elaborate.
Montebourg said the government is "ready to examine" both GE and Siemen's proposals "with the aim of preserving the interests of France's industrial base" and said the government was "ready to take part financially" in a deal.