A Russian newspaper has even reported lawyers are preparing a legal case against the special effects people who created Dobby.
But so far there's not been an official comment on the matter from the president.
Dobby, who first appears in Harry Potter and the Chamber of Secrets, is not the most attractive of characters. He's a funny green colour, skinny and has massive ears.
Dan-alike!
And it's not just in Russia that Potter lookalikes are causing a stir.
Lookalike? Jan Peter Balkenende
A top politician in the Netherlands is constantly being teased for looking like Harry Potter himself!
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Vote: Does Putin look like Dobby?
