The France international only completed a move to Rubin from Rennes in the summer of 2013.
Finances took him to Eastern Europe, with speculation linking him with a big-money move to England coming to nothing.
Those rumours resurfaced in the New Year, with Liverpool said to be keen on adding his defensive qualities to their midfield unit.
M'Vila was, however, warned off a switch by Rubin coach Ribat Bilyaletdinov.
With interest successfully seen off, the 23-year-old remains in Russia, but there is every chance that he will be offloaded when the transfer window re-opens as Rubin are prepared to part with a disruptive influence who has struggled to acclimatise to his new surroundings.
Bilyaletdinov told France Football: "He has to prove his value and work like everyone else. I don't mean that he doesn't work, but we can see that he misses France.
"In January M'Vila behaved badly - one day he trained, one day he didn't.
"Maybe his agents had promised him something. He thought he was already in Liverpool.
"I told him: 'It is not your level. If you go, you will be on the bench'. He was very disappointed.
"Now I haven't seen him for a while. I have been told he is in France to cure an injury. Even if he is back to full fitness, I don't know where to play him."