The Argentine hitman has recently revealed his desire to return home and play for boyhood club Independiente once his current contract expires in 2019, though his employers have other ideas.
City want Aguero to sign a one-year extension to his £150,000-per-week deal, which would see him remain at the Etihad until his 32nd birthday.
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However, the Premier League heavyweights are also seeking to capitalise on the appeal of incoming boss Pep Guardiola to lure a brigade of new superstars to the blue half of Manchester.
Neymar and Lewandowski, the latter currently playing under the 45-year-old at Bayern Munich, are said to be among his top summer transfer targets as he draws up plans to tweak the City squad to his liking.
A double swoop would likely cost the Sky Blues upwards of £150 million, and with Wilfried Bony, Kelechi Iheanacho and on-loan pair Edin Dzeko and Stevan Jovetic forming the backup to Aguero, one ponders if breaking the bank for one or both forwards is necessary considering the talent they already boast within their ranks.
Aguero is one of the most prolific stars in the Premier League and has struck at least 12 league goals in every campaign since arriving on English shores.
His best haul to date is his 26-goal tally from 33 games during the 2014/15 season, an effort which earned him the Golden Boot ahead of Tottenham’s Harry Kane and Chelsea ace Diego Costa.
The 27-year-old, who joined from Atletico Madrid in July 2011 for a reported fee of £38 million, has scored 124 goals in 188 matches for the Citizens, cementing his status as one of their most popular players in recent history.
Even with his glittering record in front of goal for City, Aguero would likely struggle to hold down a first-team place if Neymar and Lewandowski were to crash the party.