Now 34, midfielder Romeu is a free agent after coming off contract at Barcelona over the summer.
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Romeu was expected to return to former club Girona, where spent last season on-loan, but as yet no agreement has been struck.
TalkSPORT says Championship strugglers Southampton are keen to bring Romeu back to England.
Romeu enjoyed seven years with Saints after joining from Chelsea in a £5m move in 2013.
Saints have just axed manager Will Still as they sit 21st in the Championship table after 13 matches.