Travel without an Italian residence permit in the Schengen area

I'm a non-EU citizen, and I'm studying in Italy.

I traveled to Hungary last week with Ryanair from Italy. I showed them my passport, residence permit and Italian identity card. Everything was OK. But after a week when I wanted to come back to Italy I found that I lost my residence permit. But still I have the passport and identity card (paper).

Now I'm afraid they don't let me get back to Italy at the Hungarian airport. What should I do now?

I have a picture from my residence permit (Permesso di soggiorno).

UPDATE: Fortunately, I found my card in the house, YaaaaY.

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Can I travel within EU without residence permit?

You will need an ID card or passport if you are travelling within the European Union. And not just when you cross a border (for example, via an airport). You must also be able to show an ID card or passport if you are staying in a European country.

Can I go outside of Italy with receipts of Permesso Soggiorno?

Once you are granted the standard Permesso, you can travel freely in and out of Italy and the Schengen area provided you always bring along the original Permesso together with your passport. If a standard Permesso is not granted, you can stay in Italy with the receipt and leave the country, but cannot re-enter Italy.

Can you travel within Schengen without visa?

How long can I stay without a visa in the Schengen area? You can stay 90 days in any 180-day period within the Schengen area. calculated individually for each of these states. For instance, after a 90-day stay in the Schengen area, the person can immediately travel to Croatia and stay for another 90 days there.

Can I travel with Italian residence permit?

All foreign national citizens who hold an EU long term residence permit or a valid residence permit of another type, can leave Italy and move freely within the Schengen area for tourism purposes, bringing with them just a passport and the residence permit.

THE SCHENGEN ZONE TRAVEL EXPLAINED - DIGITAL NOMAD TV

Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.

Images: Maria Orlova, Maria Orlova, sergio souza, Jill Evans