The United coach has reignited the transfer saga for the Dutch international by insisting a move is still possible, claiming "where there is a will, there's always a way"
Manager Sir Alex Ferguson is believed to be a great admirer of the 27-year-old Dutch midfielder but wage issues have prevented a move for the player this summer.
Previously it was thought that any possibility of a transfer for the £35 million-rated playmaker had disappeared, but Meulensteen has reignited the saga by claiming it can still happen.
"Sir Alex Ferguson has tremendous confidence in our current squad, but a player the calibre of Wesley Sneijder could well suit us,” he told Dutch magazine Voetbal International
“Where there is a will, there’s always a way. As club and player really want it, there is always something possible.
“I do not see why an older player like Sneijder would not fit into our team.”
Sir Alex and United have been involved in last-minute transfer dealings in the past, masterminding the £30.75m signing of Dimitar Berbatov from Tottenham minutes before the close of the window in 2008.
So far this summer the 69-year-old manager has brought in defender Phil Jones, goalkeeper David de Gea and winger Ashley Young.
All three started Sunday's 8-2 mauling of rivals Arsenal, alongside fellow first-team rookies Danny Welbeck and Tom Cleverley.