Inter chief Piero Ausilio met with Jovetic's agent, Fali Ramadani, on the weekend to register their interest and City are aware they're keen.
Inter's approach to City was rebuffed, but Leggo says the Nerazzurri haven't given up.
Ausilio is now offering midfielder Fredy Guarin, who came close to joining Chelsea in January, in part exchange for Jovetic. The proposal is in it's initial stages, with Ausilio testing the water to see if City would be interested in taking Guarin as part of a deal.
Inter hope for a response before the weekend.
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