rincorrere bedeutet auf Englisch

chase [chased, chasing, chases]▼(to pursue, to follow at speed)
verb
[UK: tʃeɪs] [US: ˈtʃeɪs]The dog chased him. = Il cane lo rincorreva.

run after▼(follow quickly)
verb
[UK: rʌn ˈɑːf.tə(r)] [US: ˈrən ˈæf.tər]