Tevez's representative, Kia Joorabchian, is due in Italy today to begin talks over a potential move, according to The Sun.
The 27-year-old had been spotted talking to Inter's technical director, Marca Branca, while on holiday in Sardinia last week.
"There was one meeting and it was casual and nice, it happened on a beach," said Branca.
The Argentine striker has been angling for a move away from Eastlands to be nearer to his family in South America, although a move to Brazilian side Corinthians broke down last week.
City confirmed the signing of Tevez's Argentina teammate Sergio Aguero for £38m from Atletico Madrid on Thursday.