Mluvíme o našem vztahu.

Mluvíme is the 1st person plural present tense form of mluvit (to speak / to talk).

So:

• mluvím = I speak / am speaking
• mluvíš = you speak / are speaking
• mluvíme = we speak / we are speaking

In this sentence, it means we are talking or we talk, depending on context. Czech present tense often covers both the simple present and the present continuous.

Because Czech often omits subject pronouns when they are not needed.

The ending -íme in mluvíme already tells you the subject is we. So adding my is usually unnecessary unless you want emphasis.

• Mluvíme o našem vztahu. = neutral, normal
• My mluvíme o našem vztahu. = we are talking about our relationship (emphatic)

Because the preposition o meaning about requires the locative case in Czech.

So after o, both the possessive word and the noun must change form:

• base form: náš vztah
• after o: o našem vztahu

This is a very common pattern:

• o městě = about the city
• o knize = about the book
• o našem vztahu = about our relationship

Because náš (our) must agree with the noun it belongs to in:

• gender
• number
• case

Here, vztah is:

• masculine inanimate
• singular
• locative (because of o)

So náš becomes našem.

You can think of it like this:

• nominative: náš vztah = our relationship
• locative: o našem vztahu = about our relationship

For the same reason: it is in the locative singular after o.

The dictionary form is:

• vztah = relationship

But after o (about), it becomes:

• o vztahu = about the relationship

Since this sentence also includes our, you get:

• o našem vztahu

Not always. The preposition o has several uses, but in sentences like this it usually means about.

So here:

• mluvit o něčem = to talk about something

Examples:

• Mluvíme o práci. = We are talking about work.
• Mluvili o filmu. = They talked about the film.
• Mluvíme o našem vztahu. = We are talking about our relationship.

No, Czech word order is fairly flexible.

Mluvíme o našem vztahu. is a neutral, natural order.

But you could also say:

• O našem vztahu mluvíme.

That version puts more emphasis on o našem vztahu. The basic meaning stays the same, but the focus shifts.

English relies more on word order for grammar, while Czech uses endings more heavily, so Czech can move words around more freely.

It can mean either one.

Czech present tense often covers both:

• we speak
• we are speaking

So without more context, Mluvíme o našem vztahu. could mean:

• We are talking about our relationship right now or
• We talk about our relationship

Usually context tells you which is intended. In many real situations, this sentence will be understood as we are talking about our relationship.

A rough English-friendly guide is:

Mluvíme o našem vztahu
MLOO-vee-meh o NAH-shem VZTAH-hoo

A few helpful notes:

• Czech stress is usually on the first syllable of each word.
• í is a long vowel.
• š sounds like sh.
• ch is not used here, but learners often expect it in Czech spelling, so it is worth noticing that vztahu ends with plain h.
• The cluster vzt- at the start of vztahu can feel difficult at first.

No, but it is a very normal and natural choice.

You might also see:

• hovořit o našem vztahu = to speak about our relationship

However, hovořit sounds more formal or literary than mluvit.

So:

• Mluvíme o našem vztahu. = neutral, everyday
• Hovoříme o našem vztahu. = more formal

Yes. It is a complete and natural sentence.

It has:

• a verb: mluvíme
• a prepositional phrase: o našem vztahu

That is enough to make a full statement in Czech:

• We are talking about our relationship.

Czech often allows short, compact sentences like this because the verb ending carries a lot of grammatical information.