But, while Falcao is without doubt one of the best strikers in the world, he would not be the right move for City.
In Sergio Aguero, Edin Dzeko, Jovetic and Alvaro Negredo, Manuel Pellegrini already boasts one of the most impressive front lines in global football. Like Falcao, Aguero is one of the world's leading forwards, while the clinical Edin Dzeko has recently been in talks over a new deal at the Etihad.
Yet it is Montenegro man Jovetic who proves the most interesting case when Falcao is discussed, especially as he is reportedly the man that will leave to make way for the Colombian.
In the 24-year-old, Pellegrini has a man with a future. Signed for big money last season, Jovetic could not quite fulfill his potential in his debut campaign due to fitness struggles. Now, however, he looks set to thrive - with Pellegrini saying as much in the press recently.
"He had a number of different injuries last season but now he is fully fit,” he said.
"I'm sure if he continues in this way he will show why he is here. If he's fit all the year, he will be a very important player for us."
As such, Man City have focussed a lot of their pre-season around Jovetic, with the striker playing in several games and scoring several goals.
Why go through all that just to sell the 24-year-old before the new campaign?
Of course, signing Falcao would be a dream prospect for any side - just imagine him partnering Aguero. For City, however, it would make less sense than for another team considering their existing options. Loaning the Colombian and then selling Negredo would be a better alternative but, even then, Dzeko and Jovetic would find themselves marginalised.
With 102 Premier League goals to their name last term, Manchester City had no trouble scoring goals. This season, with a fully fit Jovetic and Aguero, that tally could even increase, meaning Falcao simply isn't needed at the Etihad.