They are suing Moscow-based Mediaservices, which runs Allofmp3.com and another music site, allTunes.com.
The record labels say the sites are selling songs without permission. But Allofmp3.com argues it is paying royalties to a Russian licensing body.
The music industry says that the Russian licensing group does not have the authority to collect and distribute royalties.
Later: Slashdot story says the RIAA is going for broke – RIAA Goes for the Max Against AllofMP3