on somebody’s heels
US /ɑn ˈsʌm.bə.diz hiːlz/
UK /ɑn ˈsʌm.bə.diz hiːlz/

1.
na czyichś piętach, tuż za kimś
following closely behind someone
:
•
The police were right on his heels after the robbery.
Policja była tuż za nim po napadzie.
•
Success came quickly, with problems often on its heels.
Sukces przyszedł szybko, a problemy często szły za nim.