Hayden Panettiere felt up a statue in Italy this week -- but not just ANY statue -- those boobs belong to JULIET (of Romeo & Juliet) ... and apparently molesting the sculpture is good luck!
It all went down in Verona ... when Hayden and her BF Wladimir Klitschko toured the home where it is believed Juliet lived back in the day ... before she, you know, went all O.J. on herself (allegedly).
During the visit, the couple encountered the famous Juliet statue ... so, naturally, Hayden copped herself a feel. But not because she's a perv -- local legend has it that anyone who rubs J's right breast will be blessed with good fortune.