The 28-year-old has admitted that he was hopeful the club would sign Rooney this summer.
Silva said: “I was hopeful we would sign Wayne Rooney this summer and I am hopeful that we still can.”
United insisted all summer that Rooney would not be sold.
Silva added: “It is clear his future at Manchester United is not certain.
“The player himself has made it clear that he would like a new challenge.
“If he still feels that way in January or even next summer then, once again I would urge him to come and join PSG. We are the most exciting project in European football and it is clear from the ambition of our owners that we are going to be successful.”
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.