Conceding a point (aunque fuera, pese a, aun así)

Even if: aunque + imperfect subjunctive

You know aunque + indicative for a fact you are reporting, and aunque + present subjunctive for something not yet known, or for a known fact you treat as beside the point (Aunque sea tu jefe, no tiene derecho a gritarte). When you see the situation as unlikely or imaginary, use the imperfect subjunctive, with the conditional in the other half, as after si.

aunque +what you mean
llueveit is raining: a fact
lluevait may rain: I don't know, and it doesn't matter
llovierait probably won't, but even if it did

He hasn't asked, and he probably won't: a pure hypothesis.

Even if he asked me on his knees, I wouldn't do it.
Aunque me lo pidiera de rodillas, no lo haría.
Even if it rained, I would go running.
Aunque lloviera, iría a correr.

For the past, the pluperfect subjunctive goes with the perfect conditional.

Even if you had told me, I wouldn't have gone.
Aunque me lo hubieras dicho, no habría ido.

Pese a: a shorter a pesar de

Pese a means the same as a pesar de and works the same way: + noun, + infinitive, or + que and a verb. It sounds a little more formal and is frequent in writing and on the news.

Despite the rain, we went out for a walk.
Pese a la lluvia, salimos a pasear.
Despite knowing it, she didn't say anything.
Pese a saberlo, no dijo nada.
Despite the fact that she was tired, she came to the dinner.
Pese a que estaba cansada, vino a la cena.

Aun así: even so

Aun así follows a fact and says the result happens anyway. It has no written accent: this aun means even, as in aun + gerund.

He was tired; even so, he came.
Estaba cansado; aun así, vino.
The hotel was expensive; even so, we stayed two nights.
El hotel era caro; aun así, nos quedamos dos noches.

Y eso que turns it round and adds the surprising fact at the end: Vino, y eso que estaba cansado.

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