Wiercić komuś dziurę w brzuchu

Literally: To drill a hole in someone's belly

Example: “Dzieci wierciły mi dziurę w brzuchu o psa przez cały miesiąc.” — The kids pestered me about a dog for a whole month.

Origin: To drill a hole in someone's belly is to keep at them so persistently that it feels as if they were being bored through. Polish Wiktionary defines it as constantly pestering someone for something, and it is said above all of children begging their parents. No particular story or first use is documented.