Daí, eu fui para casa.

Here daí works like a connector meaning then, so, and then, or from there depending on context.

In Daí, eu fui para casa, it most naturally means something like Then I went home or So I went home.

It is often used in spoken Brazilian Portuguese to move a story forward:

• Daí, eu encontrei um amigo.
• Daí, a gente saiu.
• Daí, eu fui para casa.

Daí is usually more spoken and informal. It is very common in conversation and storytelling.

In more neutral or formal Portuguese, people might use:

• então
• depois
• em seguida

So:

• Daí, eu fui para casa. = casual, natural speech
• Então, eu fui para casa. = also common
• Depois, fui para casa. = more clearly afterward

It is understood across Brazil, but it can sound more natural or frequent in some regions than others, especially in the South.

In many places, speakers may use aí or então more often in the same kind of sentence:

• Aí, eu fui para casa.
• Então, eu fui para casa.

All are understandable, but daí has a slightly more conversational, narrative feel.

The comma is used because daí is acting like a discourse marker or sentence opener, similar to then or so in English.

So the comma helps separate the connector from the main clause:

• Daí, eu fui para casa.

In very informal writing, people may leave it out, but with standard punctuation, the comma is normal.

Yes, you absolutely can say Fui para casa.

Portuguese often drops subject pronouns when the verb already makes the subject clear. Since fui clearly means I went, eu is optional here.

Compare:

• Eu fui para casa. = I went home
• Fui para casa. = also I went home

Including eu can add:

• emphasis
• contrast
• clarity in conversation

Fui is the preterite form of the verb ir.

It means I went, referring to a completed action in the past.

So:

• eu vou = I go / I am going
• eu ia = I was going / I used to go
• eu fui = I went

In this sentence, fui shows that going home happened as a finished event.

No. Fui can also be from ser.

That is a very common point of confusion:

• fui = I went from ir
• fui = I was from ser

Context tells you which meaning is intended.

In eu fui para casa, it must be from ir, because para casa shows movement:

• I went home

An example with ser:

• Eu fui feliz naquela época. = I was happy at that time

When casa means home, Portuguese often uses it without an article.

So:

• ir para casa = to go home
• chegar em casa = to arrive home
• ficar em casa = to stay home

But if you mean a specific house, you can use the article:

• Fui para a casa da minha amiga. = I went to my friend’s house

So in your sentence, para casa means home, not just any house.

Yes. Pra is the very common spoken contraction of para a, but in modern Brazilian Portuguese, people also very often use pra in places where standard grammar would show para before a noun like casa.

In everyday speech, you will hear:

• fui pra casa

In more careful or formal writing, para casa is safer:

• Daí, eu fui para casa.

So:

• para casa = more neutral/written
• pra casa = very common in speech

Casa is special when it means one’s home.

In that meaning, Portuguese often leaves out the article:

• estou em casa = I am at home
• vou para casa = I am going home
• cheguei em casa = I arrived home

But if casa means house/building or a specific house, the article often appears:

• Estou na casa da Ana. = I am at Ana’s house
• Fui para a casa nova. = I went to the new house

Usually no, not in the most natural reading.

Because it says para casa without an article, the normal meaning is home, not to the house.

If you wanted to the house, you would more likely say something like:

• fui para a casa
• fui à casa de alguém in some contexts, though this is less common in everyday Brazilian speech

So fui para casa is best understood as I went home.

Yes. Portuguese allows some flexibility.

These are all natural:

• Daí, eu fui para casa.
• Daí fui para casa.
• Eu fui para casa daí.
  This one is less natural for the same meaning and can sound different depending on context.

The most common storytelling order is the original one:

• Daí, eu fui para casa.

It is pronounced roughly like da-EE, with the stress on the last syllable.

The accent mark in daí shows that the i forms its own syllable:

• da-í

That is different from a single-syllable sound. The ending is clearly stressed.

Yes, very often.

In casual Brazilian Portuguese, aí and daí can both help move a story along:

• Aí, eu fui para casa.
• Daí, eu fui para casa.

They are not always identical in every context, but in a sentence like this, both can work.

Very roughly:

• aí often feels like then / at that point
• daí can feel like then / so / from there

In everyday spoken Brazilian Portuguese, a very natural version would be:

Daí, fui pra casa.

Why?

• eu is often dropped
• pra is very common in speech

But your original sentence, Daí, eu fui para casa, is also completely correct and easy to understand.