Apple's Russian office didn't respond to a request for comment.
Music streaming has been gaining popularity in Russia lately, and the segment grew by 214 percent in 2014 to $5.97 million, according to IFPI.
However, the timing for launching a new streaming service here may not be perfect.
The Sweden-based service Spotify spent a while preparing for a Russian launch, tentatively scheduled for this year, but this January, the company canceled its plans, citing the slowing economy, the falling ruble and a new personal data protection legislation as reasons.
Still, even without Spotify, the streaming segment in Russia already is quite packed, with international players like Google Play Music and Australia-based Guvera competing with locals Yandex Music and Zvooq.
Meanwhile, another prospective challenge for Apple in Russia -- not just in the streaming segment -- is the Russian government's plan to develop a new, Russian-built mobile operating system, which would compete with Apple's iOs and Google's Android, the Russian newspaper RBK reported.