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But the Brazil defender was not offered a fresh contractat the end of his current deal, instead signing a temporary extension which came to an end with PSG's defeat to Bayern Munich in Sunday's Champions League final, the first in the club's history.
Chelsea have since emerged as the front-runners to sign Silva, with reports that he will soon sign a two-year deal to join the west London club circulating.
Silva took the opportunity to pay tribute to his former supporters, quoting renowned Portuguese poet Fernando Pessoa in a heart-felt message shared on Instagram.
"The value of things is not in the time that they last, but in the intensity with which they occur. That is why there are unforgettable moments, inexplicable things and incomparable people," wrote the centre-back, using Pessoa's famous phrase.
"Today a cycle is ended, after eight years at PSG, I would like to thank my team-mates, the entire coaching staff and board, the fans, my family, God and my friends, for all of the happy years we have spent in the City of Light.