give chase

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Verb
1. go after with the intent to catch; "The policeman chased the mugger down the alley"; "the dog chased the rabbit"
(synonym) chase, chase after, trail, tail, tag, dog, go after, track
(hypernym) pursue, follow
(hyponym) quest

chase or run after someone or something The police gave chase to the man who robbed the store.

DARE LA CACCIA. INSEGUIRE