Mesic and his wife will spend the weekend with Fischer and his wife in Muerzstag.
Fischer was unable to attend Mesic's February 18 inauguration because he was in India, which is why he invited Mesic to Austria, according to Austrian news agency APA.
The two presidents are expected to discuss Croatia's European Union integration, among other things, according to today's announcement from Fischer's office.
The Austrian president last visited Zagreb last October 27.