As Express Sport reported this month, Inter are keen on landing Aguero and will offer him a £300,000-a-week deal to quit the Etihad.
The Argentine international hinted last week that he will consider his Manchester City future at the end of the season following the arrival of Gabriel Jesus.
Various reports claim PSG are also pushing for a deal to sign Sergio Aguero, who has scored 18 goals for City this season.
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And The Times claim Aguero will be mdd available this summer at the right price.
According to the report, City manager pep Guardiola is willing to let his star striker go for £80m (€93m).
Aguero, 28, has been benched for City's last two games as Jesus continues to make an impression following his January arrival from Brazilian side Palmeiras.
Inter Milan want to sign Sergio Aguero
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Aguero has been left out of the starting XI in City's last two games
Aguero (right) has also caught the eye of Paris Saint Germain
PSG would be favourites to sign Aguero due to their financial muscle and their continued search to find a replacement striker for Zlatan Ibrahimovic, who joined Manchester United last summer.
But Italian outlet football italia claim Inter have upwards of £340m (€400m) to spend on new players and wages in the next transfer window.
Inter's new Chinese owners Suning Group are desperate to bring success to the club and challenge Juventus for Serie A titles on a regular basis.
And Aguero is high on the shopping list at the San Siro.