Fälle? Unless I'm misunderstanding this, 'ich fälle' doesn't translate to 'I fall'. That would be 'ich falle'.
fällen = to fell (cut down a tree).
Also used in the phrase 'ein Urteil fällen' = 'to make a judgement'.
It can also be the plural of the noun 'der Fall', which can simply mean 'fall', a (criminal or grammatical) case or an occurence.