No single group won a majority in the elections, with the NFP winning more than 190 seats, President Macron's centrist Ensemble coalition winning 160 seats and the far-right National Rally (RN) winning 140 seats.
Since then, the caretaker government has drawn the ire of the NFP, even during the Paris Olympics.
President Macron said talks on a new government had been held since the election and would continue.
“My responsibility is to ensure that the country is not locked down or weakened,” he said in a statement Monday.
“The Socialists, the Greens and the Communists have not yet proposed ways to cooperate with other political forces. Now they must do so,” he added.
But he made a conspicuous absence of mention of the hard-left Movement for French Independence (LFI), one of the main elements that make up the NFP.
