Undergoing various lineup changes, the group refined its sound (but not too much) during subsequent years and made a number of well-received live appearances, including the 2008 Schilling Festival in the tiny Estonian burg of Kilingi-Nõmme, before self-releasing its debut album, Kõik Saab Korda (Everything Will Be OK), in May 2012. Featuring a seven-piece lineup comprising guitarist Siim Randveer, keyboardist/percussionist Kaspar Aus, bassist Lauri Randveer, drummer Martin Tamm, saxophonist Jane Põvvat, trombonist Henri Aruküla, and trumpeter Mihkel Viirsalu, the 11-track album presented a meld of influences drawing from space rock, jazz-rock, electronic dance music, psychedelia, and more, reflecting the group's particular stylistic contribution to the world music-infused (although not necessarily world-conquering) "Tartu neofusion" scene. But despite Kõik Saab Korda's considerable sonic adventurousness, the members of Wrupk Urei never let their experimental tendencies swamp the album's infectious grooves and hooks.

In January 2013, Wrupk Urei were back with their second self-released album, Teahupoo, its title derived from the name of a world-renowned Tahitian surfing village. Eight musicians played on the album, including Aus, Tamm, Põvvat, Aruküla, and Siim and Lauri Randveer from the debut disc, joined by alto saxophonist Aleksander Petrov and guitarist/percussionist Sander Haugas. Funked-up electro-organic grooves, spacy layered synths and fusoid guitars, arpeggiated keys and tight bari sax riffs danced and jammed across the album's ten tracks, providing a soundtrack equally apt for Autobahn cruising or South Sea tube riding. In 2014 the Milan, Italy-based AltrOck label released Wrupk Urei's first album, Kõik Saab Korda, internationally, giving the band its widest audience to date. In announcing the album's new availability as an AltrOck production, the label, widely recognized for unearthing noteworthy prog and avant-prog artists from across the globe, referenced Wrupk Urei's antecedents in Estonian groups Phlox and Kaseke as well as Norway's Jaga Jazzist, and also cited the hints of vintage Canterbury and psychedelia in the band's sound. ~ Dave Lynch