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Reading through an extensive review of "Snatch" the core group, the illegal boxing match folks, are Travelers. However, this is about "the London Crime Underworld" so there are Vlach, and Bijali involved.

Alhough the Nazis liked to popularize the term "bijali" and thereby gave it a negative cachet (particualarly when they went on and killed all of 'em they could catch), there are people descended from the Indian Rom who live in Russia, but they are extraordinarily "white". That's due to adoptions, intermarriage and what appears to have been simply a case of other groups in Russia "joining" the Romany (usually for survival, just as with the original Travelers).

So, the answer is, "yes, same, same", but "also, more different kinds".