"The European perspective of the Western Balkans is not in question, it is wanted, it is supported," she said.
"What we put on the table today are political declarations of principle, which have now been put to the European Commission to work on between now and January 2020."
But a European diplomat, speaking after the talks, warned: "France's isolation, in particular over North Macedonia, remains obvious."
"A crushing majority of member states remains in favour of a rapid opening for membership negotiations with Albania and North Macedonia," he said, speaking on condition of anonymity.
"In particular, discussion on reforming the procedure should not be used to delay decisions or form an obstruction," after the closed-door talks. Finnish minister Tytti Tuppurainen, whose country chairs the European Council of member states, said the French idea had not been considered in detail.
"We had a round table on the state of play, and of course we heard the French proposal... there were countries that welcomed it and there were countries that had concerns," she told reporters. She said the future European Commission, which should take power next month, will be asked to draw up proposals to reform the membership application process.
"We didn't have a vote on the French proposal," Tuppurainen said. "Today we wanted to send a full commitment to the region and our full committment to the enlargement policy." Nevertheless, a French diplomatic source insisted: "A step forward was made today towards reform of the enlargement process."
Vincenzo Amendola, Italy's minister for European affairs, said "we have no problem in discussing any paper" but "the central objective" must be to open membership negotiations with Albania and North Macedonia.
Six countries wrote a letter to the outgoing head of the EU Commission, Jean-Claude Juncker, vowing to "engage constructively in an effort to improve this process."
France saw this as an opening for debate on the process.
But Austria, the Czech Republic, Italy, Poland, Slovakia and Slovenia also said: "that the consolidation of Europe cannot be completed without the western Balkans."
And they urged members to open accession negotiations with Albania and North Macedonia in March 2020.
This month French President Emmanuel Macron raised hackles in the region when, in an interview with the Economist, he explained his tough opposition.
He described Bosnia as a "ticking time bomb" threatened by Islamist fighters returning from Syria, and he said other EU members also want to reject Albania, but were hiding behind France.
"Ask them tomorrow whether they want to open the door to Albania. Half of them will say no," he said, conceding that by contrast North Macedonia "doesn't frighten anyone."
"But I don't want any further new members until we've reformed the European Union itself," he said, arguing for closer cooperation on, for example, banking and EU governance.