Swedish-French cooperation, migration, employment, growth and security are some of the other subjects the two will discuss during the day.
"It's a new French President who has injected quite a lot of hope in European cooperation," a statement from Löfven's office said about the meeting.
France's hope of selling an anti-aircraft defence system to Sweden is another issue that could come up. A deal could be worth around 10 billion kronor ($1.2 billion).
The trip will provide welcome respite for Löfven, who has just endured a turbulent week where opposition politicians announced a no-confidence motion against three of his government ministers in the wake of a massive data leak.
The Swedish PM responded with a cabinet reshuffle, including the resignation of Interior Minister Anders Ygeman and Infrastructure Minister Anna Johansson, but opposition leaders said they will still press on with the no-confidence motion against Defence Minister Peter Hultqvist, who remains in his position.
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Löfven and Macron will make a joint statement just before 5pm Paris time on Monday. The Swedish PM will also meet French Prime Minister Édouard Philippe during the day.