Upvote:1
Yes, the permesso di soggiorno means that you do not require a visa to enter Curaçao.
Timatic, the database which airlines use to verify passenger travel documents, states:
Visa required, except for Passengers with a residence or a re-entry permit issued by Italy.
Visa required, except for Passengers with a D visa issued by a Schengen Member State.
You might still require a visa to transit some other country to travel to or from Curaçao, such as Canada or USA. Some airlines have direct flights to Schengen area airports though.