The 20-year-old has won over fans for his impressive performances this term, and after reported interest from PSG the English club have also emerged as potential suitors
The 20-year-old defensive midfielder has been a regular for the Millo since relegation in June 2011 condemned them to play the following season in the Nacional B for the first time, and along with Lucas Ocampos has established himself as one of the top young stars in the institution.
His progress has not gone unnoticed, with Paris Saint-Germain having previously been linked with a move for the former Argentina youth international.
According to agent Rodrigo Vilarino, the French club could face strong competition from Manchester City for a transfer, as Roberto Mancini's side are long-term admirers of the tenacious midfielder.
"City have been following Ezequiel since the start of 2010, when they sent him an invitation to England for a 20-day trial," the representative explained to Ole on Thursday.
Mancini's assistant Attilio Lombardi has reportedly been entrusted with keeping close tabs on Cirigliano. The Italian apparently observed the player's last two outings, a win over title rivals Instituto and a draw in Mar del Plata against Aldosivi, and was impressed with what he saw.
If City do make an approach, Cirigliano could become the fourth Argentine to currently wear the Sky Blue, as compatriots Carlos Tevez, Sergio Aguero and Pablo Zabaleta already star at the Etihad Stadium.
With River reluctant to sell their young talents with a view to competing in the Primera Division next year, however, a bid of up to €15 million could be necessary to tempt a sale.