Born Mažeikiai, Lithuania (then USSR) 4 January 1987 

Aged seventeen, and having come from Lithuania, Rytis played for Exeter City in the FA Youth Cup against Witney Town in October 2004. He signed as a professional for the Grecians in 2005 and played for the reserves as well as being on the bench for the Football League Trophy tie at MK Dons in October 2005.

After his release by Exeter in 2006, Rytis had a trial in Norway with Bryne FK before signing for Danish side Herfølge BK in January 2007. After three years in Denmark Rytis moved on to FC Šiauliai (Lithuania), Gjøvik FF (Norway) and FK Liepājas Metalurgs (Latvia). 

In 2012 Rytis was in his native Lithuania with Žalgiris Vilnius later moving to Estonia to play for JK Sillamäe Kalev. He returned to Norway in 2015 to sign for Hamarkameratene followed by two years with FK Jelgava of Latvia.

In 2020 Ryris was reported to be in Lithuania again with FK Atmosfera prior to retiring at the end of the season.

Between 2003 and 2009, Rytis represented Lithuania at under-17, under-19 and under-21 level.