The Dutchman is sure Sneijder would be a big hit if he did eventually make the switch.
"The new Paul Scholes doesn't exist, just as a new Roy Keane has never emerged, but Sneijder would fit perfectly here," Meulensteen told Voetbal International.
"I cannot actually think of a more ideal player for our team. I say this not because he's a Dutchman. I've worked here for a while, I know the team inside out and I know he would be a great signing.
"He seems a perfect complement to the likes of (Javier) Hernandez, (Wayne) Rooney, Park (Ji-sung), (Ashley) Young, (Antonio) Valencia, Nani and (Ryan) Giggs.
"And, of course, Wesley has the necessary experience in top-level football.
"I don't know what his future is at Inter, whether he may leave or whether he's affordable. But, purely based on football skills, I say get Sneijder."