The word volcábamos is the imperfect form of volcar in the first person plural.
See the full volcar conjugation

volcar

En un principio, recuerdo que fue muy estimulante ver cómo nos volcábamos en bloque para mejorar el sistema de movilidad estudiantil en Europa.
I remember how, at the outset, we were all falling over ourselves to improve the system of student mobility in Europe.
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