Collins Russian Dictionary 2nd Edition © HarperCollins Publishers 2000, 1997:
embroil [ɪmˈbrɔɪl] vt
to become embroiled (in sth)ока́зываться (оказа́ться*perf) вовлечённым[-ой] (во что-н)
* is used to mark translations which have irregular inflections. The Russian-English side of the dictionary gives inflectional information.