It has been reported by the British newspaper that the Saints have identified the Mexico international defender as an alternative to Toby Alderweireld.
Alderweireld played for Southampton on loan from Atletico Madrid during the recently concluded 2014-15 season.
The future of the Belgium international defender Alderweireld is uncertain, as he has interest from Tottenham Hotspur, according to The Mirror.
Southampton are reportedly preparing for life without the former Ajax star and have identified Moreno as a suitable replacement.
This is not the first time that Moreno has been linked with a move to the Premier League.
Last month, Mexican newspaper Record claimed that Arsenal have submitted a €10m bid for the Espanyol defender, while The Daily Mail reported in December that Tottenham manager Mauricio Pochettino wanted to sign the player he worked with at Espanyol in the January transfer window.