In 2001, Prigioni joined the Spanish club Lucentum Alicante, and he played there until 2003. In 2003, Prigioni joined the Euroleague team Saski Baskonia. With Baskonia he won several titles, including: 3 Spanish King's Cups in the years 2004, 2006, 2009, 4 Spanish Supercups in the years 2005, 2006, 2007, 2008 and the Spanish Championship in 2008
