Même après la dispute, ils parlent doucement l’un à l’autre.

Here même means even. It adds contrast and emphasis.

So Même après la dispute tells you that the next action is true despite the argument. It is like saying that the argument would normally make calm conversation less likely, but it still happens.

Because après is a preposition that can be followed directly by a noun.

So with a noun, you say:

• après le repas
• après la réunion
• après la dispute

You do not add de here.

You may see different structures with a verb, such as après avoir parlé, but with a noun, après + article + noun is the normal pattern.

French usually uses an article where English sometimes does too, and sometimes does not. Here la dispute refers to a specific quarrel that both speaker and listener can identify from context.

So French naturally says after the argument/quarrel with the definite article.

Not exactly in tone or everyday use.

In French, une dispute very commonly means a personal argument or quarrel between people. In English, dispute can sound more formal, legal, or abstract, although it can also mean an argument.

So when you see la dispute in a sentence like this, think of an ordinary quarrel or argument between people.

Both can work, but they are built differently.

• ils parlent ... l’un à l’autre = they speak ... to each other
• ils se parlent = they speak to each other

The version with l’un à l’autre makes the reciprocal idea very explicit: each one is speaking to the other.

A shorter and very natural alternative would be Même après la dispute, ils se parlent doucement.

Here doucement means something like gently, softly, or calmly.

It comes from doux/douce, meaning soft or gentle.

Depending on context, doucement can sometimes mean slowly, but with parler, it usually suggests a gentle or quiet manner of speaking, not speed.

Because that is the normal position for many French adverbs, especially with ordinary verb phrases.

So:

• ils parlent doucement
• elle répond calmement
• nous marchons lentement

French often places this kind of adverb after the conjugated verb. English is more flexible, but in French this order is very natural.

It is a reciprocal expression meaning to each other or one to the other.

In this sentence, it shows that the speaking goes both ways between the two people.

It is built this way because parler takes à when you say who someone is speaking to:

• parler à quelqu’un = to speak to someone

So:

• ils parlent l’un à l’autre = they speak to each other

Because French often uses singular forms in reciprocal expressions even when the overall meaning is plural.

The idea is:

• one to the other
• each one to the other one

Together, that gives the plural sense of mutual action.

If you were talking about a larger group, you might also see les uns aux autres, but with two people, l’un à l’autre is the usual choice.

This is part of a fixed expression.

The l’ is an elided form of the article, used before a vowel sound. French avoids saying le un or le autre in these expressions, so they become:

• l’un
• l’autre

You will often meet these forms in set phrases such as:

• l’un et l’autre
• l’un ou l’autre
• l’un à l’autre

A very important point: the -ent ending in parlent is silent.

So ils parlent is pronounced essentially like il parle.

That means:

• il parle
• ils parlent

sound the same in normal speech.

This is very common in French verb endings, especially in the present tense.