That would include harmonising and systemising how information on individuals deemed dangerous or radicalised is shared between countries in the 26-nation, passport-free Schengen zone, the source said.
France and Belgium want to see the "prolonging and expanding, while better formalising, the multilateral exchange of information" between the countries, the source added.
News agency Belga reported France and Belgium could hold a meeting in the coming weeks, although the source said no date had been set.
Security fears have been heightened in Europe since 130 people were killed in Paris last month by jihadists, many of them with links to an impoverished neighbourhood of the Belgian capital.
The attacks, claimed by the Islamic State group, have also called into question how to track and monitor people arriving from Syria during Europe`s worst migrant crisis since World War II.
The European Commission has proposed setting up a pan-EU intelligence agency, similar to the FBI in the United States, in the wake of the attacks.
The group of nine EU member states -- France, Belgium, Italy, Britain, Germany, the Netherlands, Spain, Ireland and Sweden -- met in June 2014 after an attack on a Jewish museum in Brussels.
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