In 2012 the band announced their return to Europe in July, followed by their second Australia tour. The tour was accompanied by a split release with touring partners City Of Ships, released by Australian independent label Bird's Robe Records.

Rosetta's third full-length album, named A Determinism Of Morality, was released on May 25, 2010 and was followed in the summer by the band's first full U.S. tour in three years. In October, the band released a split LP with Philadelphia band Restorations on Cavity Records, featuring a previously unreleased track which had been recorded in December 2007.

In 2009, the band released a 3-way split EP on vinyl only with Year Of No Light and East Of The Wall. One song called "Homesick" - originally by The Cure - is available on the band's Myspace. A European tour followed in June of the same year.

The band's second release, Project Mercury, a split with Balboa, was released April 24, 2007. After a full United States tour in July, the band's second full-length album, entitled Wake/Lift, was released on October 2, again through Translation Loss. The release of Wake/Lift was accompanied by selected United States touring and followed by a June 2008 Australian tour.

Their debut album, The Galilean Satellites, featured two separate hour-long discs - one of more metal-oriented music, and one of ambience - that synchronize together. Although originally intended to be one disc of metal tracks sandwiched by ambient ones, the band had enough material to cover two discs.

Rosetta's members were all acquaintances in high school, and had played in various bands until they decided to play a last minute gig on August 20, 2003, after only three practice sessions, and improvised the entire show. Following this, they proceeded to write more songs, play more shows, and eventually record a four-song demo album, which picked up interest from Translation Loss Records.

The band somewhat humorously self-describes its music as "metal for astronauts", and its members are very interested in astronomy and space travel.