The word subiésemos is the imperfect subjunctive form of subir in the first person plural.
See the full subir conjugation


En cualquier caso, de repente ella dio el primer paso... y sugirió que subiésemos arriba.
Anyway, all of a sudden, she makes her move and suggests that we go upstairs.
Want to Learn Spanish?
Spanish learning for everyone. For free.
SpanishDict Premium
Have you tried it yet? Here's what's included:
Cheat sheets
No ads
Learn offline on iOS
Fun phrasebooks
Learn Spanish faster
Support SpanishDict