The 31-year-old’s new deal would keep him at the San Siro until 2013.
Tuttosport says Inter directors are keen to award Stankovic with a new deal after several good performances so far this season.
Stankovic’s current contract is set to expire in June 2011.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.