Η περιαγωγή λειτουργεί στο εξωτερικό.

Η is the feminine singular definite article, meaning the.

It matches περιαγωγή, which is a feminine singular noun:

• η περιαγωγή = the roaming

Greek articles change depending on gender, number, and case, unlike English the, which always stays the same.

Grammatically, περιαγωγή is a feminine singular noun.

In this sentence, it is the subject of the verb:

• Η περιαγωγή λειτουργεί = Roaming works / Roaming functions

Its gender is just part of how the noun behaves in Greek. Like many Greek nouns, it has a fixed grammatical gender, and that gender controls the form of the article and sometimes other words connected to it.

λειτουργεί is the 3rd person singular present tense of λειτουργώ (to function, to work, to operate).

So:

• λειτουργώ = I function / I work
• λειτουργεί = it functions / it works

Here it agrees with the singular subject η περιαγωγή.

Because Greek often uses λειτουργεί to mean that a service, device, or feature works, functions, or is available.

So Η περιαγωγή λειτουργεί means something like:

• Roaming works
• Roaming functions
• Roaming is available

This is more natural than using a literal equivalent of is in this context.

στο is a contraction of:

• σε = in / at / to
• το = the

So:

• σε + το = στο

In this sentence:

• στο εξωτερικό = abroad / in foreign countries / outside the home country

This contraction is very common in Greek:

• στο σπίτι = in the house / at home
• στο γραφείο = in the office

Because εξωτερικό here is not being used like an adjective meaning external. It is being used as a noun phrase meaning abroad or the foreign countries / the outside world.

So Greek normally says:

• στο εξωτερικό = abroad

This is a fixed, very common expression. Using σε εξωτερικό would sound unnatural in standard Greek.

Literally, εξωτερικό comes from the idea of the exterior / the outside, but in everyday Greek το εξωτερικό is the standard way to say:

• abroad
• overseas (depending on context)
• in foreign countries
• outside one’s home country

So στο εξωτερικό is an idiomatic expression and should usually be learned as a chunk.

Yes. Greek word order is more flexible than English.

The basic sentence:

• Η περιαγωγή λειτουργεί στο εξωτερικό.

But you could also say:

• Στο εξωτερικό λειτουργεί η περιαγωγή.

That might sound more marked or put more emphasis on abroad.

Still, the original version is the most neutral and straightforward:

• subject + verb + location

Yes, in many everyday situations you could hear:

• Η περιαγωγή δουλεύει στο εξωτερικό.

δουλεύει literally means works, and it is common in spoken Greek for things like phones, apps, systems, and services.

The difference is mainly style:

• λειτουργεί = a bit more formal, technical, or neutral
• δουλεύει = more everyday and conversational

Both are understandable here.

Greek uses the present tense here to express a general fact or current availability.

So Η περιαγωγή λειτουργεί στο εξωτερικό means:

• roaming works abroad
• roaming is available abroad

This is the same kind of use as in English:

• This phone works overseas
• The service operates internationally

It does not have to mean only right this second; it can describe a general situation.

A rough pronunciation guide is:

ee pe-ree-a-go-GHEE lee-tour-GHEE sto exo-te-ree-KO

A few notes:

• Η sounds like ee
• γ before η / ι / ε / αι is a softer sound, somewhat like a y-like or softened g sound, depending on accent and phonetic detail
• The stress falls on:
  • περιαγωγή
  • λειτουργεί
  • εξωτερικό

If you want to sound natural, pay attention to the stressed final syllables in περιαγωγή and λειτουργεί.

No. A literal word-for-word translation would sound odd in English.

It is much better to translate the phrase naturally as:

• abroad
• overseas
• in foreign countries

So even though the Greek structure includes the, English usually does not:

• στο εξωτερικό → abroad, not in the abroad

This is a good example of why Greek should not always be translated word for word.