The 28-year-old's agent recently invited the Catalans to make a move for the Brazil international amid ongoing speculation that they are keen to lure the defender away from his current club.
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"Every player dreams of playing for Barcelona. It has always been my wish to play for a big club in Europe. I am happy at PSG at the moment, though," the centre-back was quoted as saying by Globo Esporte.
"I have told my agent not to pass on any interest unless there is something concrete. It only distracts me, especially during the league season.
"There was a lot of talk and speculation about a move to Barcelona last year and that has continued now. Nothing has happened, though, and I am calm about all the rumours."
Thiago Silva's contract with PSG runs until June 2017.