Yes, a foreign citizen from the EU or outside the EU can buy a house in Italy without a Visa or a permit.
This being said you must always check if your country has a reciprocity agreement with Italy. For EU citizens there are no restrictions.
US citizen thanks to reciprocity agreement can buy a house in Italy while Canadian citizens can buy house in Italy unders certains conditions that depend on the size of the town where they decide to look for a property (under 10k people). But keep in mind buying a house in Italy doesn’t grant you residency.