Crisis in Israel, many airlines suspended flights to/from Tel Aviv
Many airlines have suspended flights to Israel, those that have instead decided to conceto with their governments [...]

A great many airlines have suspended flights to Israel, those that have instead decided to conceto their governments and local authorities are experiencing huge delays.
ITA Airways has canceled all flights
In this article:
At the moment on the website of the Italian national airline there is reference to the cancellation of flights only for today, or rather I think so since on the page there is no date and in the text there is reference only "... until tomorrow morning."
In contrast, the other companies, as seen below, put definite time references on the information page that do not create doubt in passengers looking for information.
The other companies that have suspended flights
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At the moment Wizz Air has announced the cancellation of flights scheduled for today, Air France and KLM have also cancelled flights for tomorrow Monday, October 9. No flights until at least Tuesday for all Lufthansa Group companies.
Who continued to fly over Tel Aviv.
If from continental Europe and the US almost all carriers have temporarily suspended flights, the same is not true with the rest of the world.
Obviously as can be seen from the departure situation from the Ben Gurion airport website things are not easy and the delays really important, but at least those who want to get out of the country can find a chance to leave.