Moyes believes a fully-recharged Bilyaletdinov can continue his improvement in the coming campaign.
"He's scored some really good goals", said the Everton manager. "I'm not surprised because we'd watched him in Russia and we feel that he's still got more to give, but there are goals in him and he's sensed that himself.
"He's a tremendous volleyer of the ball and, left foot or right foot, has great technique. The goals he has scored this season have been important for us and I think important for him as well."