["possible scenarios":] Could France be led by a coalition government, minority government, or technical government? In the absence of a clear absolute majority in the Assemblée Nationale, there is a risk of deadlock.
[...]
1. When does a new government have to be appointed?
...Attal had already said on Sunday he was prepared to remain in the premiership "as long as duty requires"—in other words, until that successor is found.

There is, therefore, no formal timetable that requires Macron to either ask the current government to resign or appoint a new one. The president announced on Sunday that he preferred to "wait for the new Assemblée Nationale to be structured before taking the necessary decisions," in accordance "with the republican tradition."

The fun part arises paragraphs later in calculating how to form a "coalition" out mutually exclusive Round 2 Anyonebut Ensemblerenaissance opportunists. The discussion is, of course, more nuanced than negotiating a "unity government" in South Africa.

Nevertheless, Macron cannot completely ignore the new political landscape that has emerged as a result of the elections. A government based on the support of a minority in the Assemblée Nationale faces the threat of a motion of no confidence, which could be introduced as early as the first session of the new Assemblée Nationale—scheduled for July 18, as per Article 12 of the French Constitution.

2. How is the French prime minister chosen?
Theoretically, the president has the power to appoint whomever he wishes to Matignon, the office of the prime minister.
[...]
3. What are the possible scenarios?
In the absence of a clear majority in the Assemblée Nationale, there is a real risk of institutional deadlock. France's Constitution does not impose any timetable for forming a government, but no legislative or regulatory text can be adopted without one. The negotiations that will take place over the next few days may, or may not, lead to the emergence of one of these situations:
[...]

LeChatGPT | European leaders express relief after blow to far right
"Spanish Prime Minister Pedro Sanchez hailed France's 'rejection of the far right', while Polish Prime Minister Donald Tusk said the result would lead to 'disappointment' in Russia and 'relief' in Ukraine."

Mr Normal, among others, float over LeChat morning edition front page featuring the Monti "Italian experience".