Yep, they are called Golden Visas. If you buy a property more expensive than 500.000 Euros you may apply for it. There were a few nags and some corruption charges a while ago so not sure what the current status is.<p>There is also some tax break that if you had no income in Portugal in the last 10 years, you are eligible for a very reduced personal tax rate if you move to Portugal for X years  so that also brings up rental and property prices.