Milan have long insisted that Silva, widely regarded as one of the best defenders in the world, is not for sale.
But French reports claim that a deal worth in excess of £40million could be completed this week, making it one of the biggest transfers in history.
"We're going to see Thiago, but it is not easy!" Leonardo is quoted by L'Equipe.
Should the deal happen, it would be a club record for PSG - who are also closing in on a £20million plus deal for Napoli's Ezequiel Lavezzi.
Milan have yet to make a comment.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.