Indeed, that's another meaning. The noun "competenza" (competence) comes from this meaning. Laungages are fun, aren't they? But notice that in the example you

Indeed, that's another meaning. The noun "competenza" (competence) comes from this meaning. Laungages are fun, aren't they? But notice that in the example you linked, there is the pronoun "mi" (to me). A pronoun that indicates the recipient is required for that meaning (it would be a dative case in Latin or other langage with cases). "To compete with someone" instead requires the preposition "con" (with)