The Italian has been linked with a move away from the Premier League side.
The 30-year-old's current deal with the Saints expires next summer, and with the Star suggesting that he was attracting interest from China, Lazio and potentially other Premier League clubs, it appeared that a departure in the coming months could have been on the cards.
However, the Star is now reporting that the Italian is ready to sit down and discuss fresh terms with the south coast club.
With Southampton gearing up for another Europa League campaign, the news that Pelle is considering committing his future to the club will provide the squad with a huge lift.
The striker has scored 11 times in the top flight this past season, and undoubtedly poses a different threat to what opponents may expect from the likes of Shane Long, Jay Rodriguez and Charlie Austin.
And with Manchester United's FA Cup win sending the Saints straight through to the group stage in Europe, Ronald Koeman may be able to attract a better quality of player to the club which may allow Pelle to get much more of the kind of service that has made him so ruthless at times.