Blues boss Mourinho also monitoring situation.
Anzhi have given striker Samuel Eto’o the go-ahead to seal a move away from Russia this summer, with both Inter and Chelsea interested in signing him.
The 32-year-old star is expected to be the first sacrifice made by club owner Suleyman Kerimov after his decision to sell the club’s top players and invest in the youth academy instead.
Following a face-to-face meeting on Monday, it is understood that the pair have agreed to allow Eto’o to leave this summer, with initial reports suggesting that he would have to stay until January.
However, according to La Gazzetta dello Sport, Inter owner Massimo Moratti is exploring the possibility of bringing Eto’o back to Milan ahead of the new season, after the pair were forced to split two years ago.
It is believed that while the Cameroon striker’s valuation is expected to drop dramatically in order to facilitate a move, the player himself is willing to take a drastic wage cut in order to help push through a potential deal.
However, Moratti will face competition from former Inter boss Jose Mourinho who is monitoring Eto’o closely with a view to taking him to Stamford Bridge this summer.
Gazzetta suggest that the Portuguese tactician still prefers to sign Manchester United striker Wayne Rooney, but if they are unable to reach an agreement then he will move for his former player instead.
It is still early in the negotiations for Inter, as it is clear that they will be unable to compete in a bidding war with Chelsea.
Eto’o will have to make significant sacrifices if he wishes to return to Italy, although his recent comments have suggested that he could prefer a move to the Premier League to be reunited with Mourinho.