A large group went as soldiers into Roman service . They settled in Lugdunensis.
Their main area of settlement became the Rhineland area around the city of Worms in Germany. They were spread over southwestern Gaul; that is, Northern Italy, Western Switerland, Eastern France.
One of the earliest Germanic Law Codes (Burgunderrecht) ,was recorded by Gundobad?, who died in 516. This recorded the Germanic laws based on tribal customs. King Sigismund (died 523/4 wrote down the "Prima Contitutio". Another law code is the "Lex Romana Burgundionum".
A daughter of a Burgundian king was married to Theodoric the Great of the Goths.
Since they did live together with Franks, Goths , Swabians etc, it is difficult to tell different place names and language apart.
A record of the Burgundians remains with the "Niebelungen Lied".