Vargas relocated to London at age 17 to pursue his musical career where he was signed to Geffen Records and formed the band Vagabond. The band toured the UK selling out two headline tours and also performed at the Glastonbury, T in the Park and V music festivals.
On 16 February 2010, Vargas disbanded Vagabond in order to pursue a solo career. I
n 2014, Vargas signed with Copenhagen Records and started working on material for
his forthcoming EP and album with collaborator Tommy Sheen who also performs live with Vargas. The first release on Copenhagen Records was the single Till Forever Runs Out followed by Solid Ground on 30 March 2015. Solid Ground became a viral hit and is
included on the EP Giving Up the Ghost released 22 January 2016. The EP peaked at
No. 1 on the Danish and Dutch iTunes Album Charts while the feature single, Shackled Up made it to No. 1 on the Danish iTunes Singles Chart and No. 4 on the Dutch iTunes Singles Chart.
UK press and blogs have described Alex as "engrossing, poetic and openly emotional, Vargas' soulful approach is winning fans – prepare to become one of them". –Clash Music
Vargas is a BMI writer and is published by Atlas Music Publishing out of New York.
On 16 February 2017, Vargas announced that his second full-length album, Cohere, would be released on 31 March 2017.
He co-wrote Bulgaria's entry in the Eurovision Song Contest 2017. The song called Beautiful Mess was performed by Russian-born Kristian Kostov and reached 2nd place, Bulgaria's best ever result.