Le Maire tweeted pictures of what he called "a long night of negotiation" that had produced "significant progress" on a roadmap for the future of the eurozone. He said he and Scholz would hold a last round of talks this week on proposals to be put to a joint Franco-German ministerial meeting on June 19.
Scholz, also writing on Twitter, described the meeting as "interesting" without giving further details.
"We still have work to do," the French source said.
"There is agreement on nothing until there is agreement on everything." Macron is on a drive to reconcile Europeans with the European Union after years of austerity and mass migrant flows have helped fuel the rise of anti-immigrant and nationalist parties.
He has seized on Britain's vote to leave the bloc as a chance for closer integration, with the aim of adopting sweeping changes before European elections in May 2019.
But Germany and other northern European states have baulked at his calls to give the eurozone its own big budget, fearing the more fiscally prudent north will have to pick up the tab for overspending by the more profligate south.
In an interview last weekend, days after a eurosceptic government took office in Italy, Merkel made some concessions.
She said the eurozone's top economy would support Macron's call for an investment fund to help poorer European countries catch up in the areas of science, technology and innovation.
But the size of the fund remains a major bone of contention, with Merkel saying it should be "at the lower end of the double-digit billions of euros range" while Macron has called for a budget amounting to "the equivalent of several points of the GDP of the eurozone".
Merkel also detailed her proposals to upgrade the eurozone's bailout fund into a European Monetary Fund -- under strict lending conditions and on condition that member states retain oversight over the body.
"It is a courageous response that goes in the right direction," Le Maire told AFP.
"Is it sufficient? No. We think you have to go further and that this is a unique, historic opportunity to make very significant progress toward better integration of the eurozone," he said.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)