A forza di aspettare, riusciamo a dare il biberon al bambino.

A forza di is a fixed expression meaning by constantly / through repeated / by sheer persistence in doing something.

So A forza di aspettare literally means by waiting and waiting or after so much waiting.

It often suggests that something happens as the result of repetition, insistence, or endurance.

Examples:

• A forza di studiare, è migliorato. = By studying so much, he improved.
• A forza di provare, ci sono riuscito. = By trying again and again, I managed to do it.

After a forza di, Italian normally uses the infinitive, not the gerund.

So:

• a forza di aspettare = by waiting / after waiting so much

Not:

• a forza di aspettando ❌

This is just the standard structure:

a forza di + infinitive

Examples:

• a forza di parlare
• a forza di ripetere
• a forza di insistere

Riusciamo is the 1st person plural present tense of riuscire, which means to succeed, to manage, or to be able to in the sense of succeeding in doing something.

So riusciamo a dare means:

• we manage to give
• we succeed in giving

It is different from potere:

• possiamo dare = we can give / we are able to give
• riusciamo a dare = we manage to give / we succeed in giving

Riuscire often implies that there was some difficulty.

Because riuscire is normally followed by a + infinitive.

So:

• riuscire a fare qualcosa = to manage to do something

In this sentence:

• riusciamo a dare il biberon al bambino

More examples:

• Non riesco a dormire. = I can’t manage to sleep.
• Sei riuscito a finirlo? = Did you manage to finish it?

So the a belongs to the verb pattern, not to dare itself.

Literally, it means to give the bottle to the baby/child.

But in natural English, it often means:

• to feed the baby with a bottle
• to give the baby a bottle

In Italian, dare il biberon is a normal way to express giving a baby their bottle.

So:

• dare il biberon al bambino is a standard and idiomatic phrase.

Because il bambino is not the direct object here. The bottle is the thing being given, and the child is the recipient.

Italian marks the recipient with a:

• dare qualcosa a qualcuno = to give something to someone

So:

• il biberon = direct object
• al bambino = indirect object (a + il = al)

Compare:

• Do il libro a Marco. = I give the book to Marco.
• Diamo il biberon al bambino. = We give the bottle to the baby.

Yes. You could replace al bambino with an indirect object pronoun.

For example:

• A forza di aspettare, riusciamo a dargli il biberon.

Here gli = to him / to the child

Notice that with an infinitive, the pronoun can attach to the end:

• dare + gli → dargli

This is very common in Italian.

Italian often uses the present tense in ways that English might translate differently depending on context.

Riusciamo literally means we manage, but in context it may be understood as:

• we manage to
• we eventually manage to
• we do manage to

If the speaker is narrating a repeated or typical situation, the present makes perfect sense:

• A forza di aspettare, riusciamo a dare il biberon al bambino. = After enough waiting, we manage to give the baby the bottle.

If you wanted a clear past event, you might say:

• A forza di aspettare, siamo riusciti a dare il biberon al bambino. = After waiting and waiting, we managed to give the baby the bottle.

Yes. It introduces the idea that the repeated waiting leads to the result in the main clause.

Structure:

• A forza di + infinitive, result

So the sentence means that because of all that waiting / by waiting long enough, we manage to give the baby the bottle.

It often conveys:

• persistence
• repetition
• endurance
• eventual result

Very often, yes.

It can simply describe persistence, but it can also suggest:

• annoyance
• excess
• something repeated too much
• a result reached almost reluctantly or ironically

Examples:

• A forza di parlare, mi è venuto mal di gola. = From talking so much, I got a sore throat.
• A forza di insistere, l’ha convinto. = By insisting so much, he convinced him.

In your sentence, the tone could be neutral or slightly suggest that getting the baby to take the bottle took patience.

Yes. Italian is flexible, though the original version is very natural.

Possible alternatives:

• Riusciamo a dare il biberon al bambino a forza di aspettare.
• Al bambino riusciamo a dare il biberon a forza di aspettare.
  (more marked, with focus on al bambino)

The original order is good because it sets up the cause first:

• A forza di aspettare, ... Then gives the result:
• riusciamo a dare il biberon al bambino.

Bambino literally means child or boy, depending on context. But because the sentence mentions il biberon, the context strongly suggests a baby or a very young child.

So in this sentence, English would usually say:

• the baby

Even though the Italian word is bambino, not neonato.

Yes, but the nuance would change.

Some possible alternatives:

• Dopo aver aspettato tanto, riusciamo a dare il biberon al bambino.
  = After waiting a long time, we manage to give the baby the bottle.

• Aspettando a lungo, riusciamo a dare il biberon al bambino.
  = By waiting a long time, we manage to give the baby the bottle.
  (less idiomatic in this exact sense)

• Alla fine, riusciamo a dare il biberon al bambino.
  = In the end, we manage to give the baby the bottle.
  (focuses on the final result, not the repeated waiting)

A forza di is especially useful when you want the idea of repeated persistence leading to a result.