Soares capped off a strong debut season in the Premier League by helping Portugal to Euro 2016 glory.
Soares looks set to stay at St Mary's
The 24-year-old enjoyed a strong debut season in the Premier League after completing a move from Sporting Lisbon last summer, making 26 appearances during a largely successful campaign that saw the Saints finish sixth.
Soares has enjoyed a strong debut season in the Premier League
The full-back capped off an impressive year by helping Portugal claim a momentous European title in France, which is likely to have seen his stock rise during the summer window.
Soares has had a good year for his national side as well as his club
But Southampton, who are looking to build for a long-term future under new manager Claude Puel, have already moved to try to tie down Soares, with the Daily Mail claiming that contract talks between the two parties have already begun.
Portugal celebrate with the trophy after winning Euro 2016
Having lost Sadio Mane and Graziano Pelle already in this summer transfer window, Southampton are understandably keen not to lose any more of their top-performing stars.
As well as Soares, the club is reportedly ready to offer Serbian midfielder Dusan Tadic and striker Shane Long new deals, in a bid to convince them that their long-term future is at St Mary's.