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However, Juve's director general, Giuseppe Marotta, has ruled out any such move.
"Kolarov is a player of absolute value," he told Mediaset.
"However, there is no negotiation taking place at the moment and we have no intention of starting one up.
"We are not interested in him."
Antonio Conte's defending champions have little need to strengthen defensively, having kept clean sheets in their last seven top-flight matches.
Kolarov has occasionally captained City, who are fourth in the Premier League table, this season.