Do the Israeli consulates give visa on a separate piece of paper instead of on the passport?

Are you allowed to travel to and fly in and out of Israel proper? If yes, is your visa a regular tourist visa or a special case?

I'm asking because although Israel does not ban citizens of countries that do not recognise its existence and have no diplomatic ties with it, it only permits visit/tourist visas to a minimum group of 10 people to visit the Palestinian territories including the Aqsa mosque in Jerusalem. They need to enter and exit from Jordan-West bank border crossing and be accompanied by a security official at all times. Source is timatic (except the security detail which comes from secondhand reports)

In any case, since Bangladesh passport states it's not valid for travel to Israel, you will not get visa stamped in your passport nor will you get entry/exit stamps. Instead you will get a permit on a separate sheet which would be stamped on entry and exit.

I entered the country the 10/06/19 via the Ben Gurion airport, and was given the piece of paper shown at the top below. No stamp on passport. As you can see, is a standard B2 tourist visa, lasting for 3 months. Importantly, I did not ask for a separate paper. I was paying a lot of attention to the people before me and in other queues, and I never saw or heard a passport being stamped.

On the way out through the same airport, before you do the check-in/bag drop, you must show the paper with the visa to the security people (so keep it!). Then, while passing through the departure gates, you are given the another piece of paper shown bottom below.

It seems that Israeli visas are stamped on the passport, which can be a problem for you. However, your circumstances are quite unique - Israel normally doesn't grant visas to citizens of countries that don't recognize it - so it's possible that things would be different.

Why I think they stamp the passport:

• A Google image search for "Israeli Visa" shows some visas that seem to be stamped on the passport.
• In this question a Hebrew stamp saying "A visa request has been submitted" is stamped on the OP's passport.

If your passport is indeed stamped (you'll find out soon enough), then it may get you in trouble when returning to Bangladesh. I really don't know how strict are the Bangladeshi authorities about it. In some countries (e.g. Iran) it could make you a suspected spy. You might want to report the passport lost.

P.S. you might want to read this story - a Bangladeshi doctor who's the first Bangladeshi national to ever visit Israel, and is now banned from Bangladesh (he's also a "loud and proud pro-Israel activist who is converting to Judaism", which surely doesn't improve his situation in Bangladesh).