 Guitar Islancio I (1999), II (2000), III (2001), Connections (2002), Icelandic Folk (2005) and Guitar Islancio (2006).The band became quite popular both in Iceland and abroad and during the decade it traveled all around the world to play.In 2003, Björn and Danish clarinet player Jörgen Svare made their first album, "Jazz Airs", followed by the album "Sweet and Lovely" in 2005.