The West Ham United goalkeeper featured for the Republic of Ireland against Sweden at Euro 2016 on Monday.
Robbie Brady has described Wes Hoolahan’s exile from the Irish squad as a shame but has called to appreciate his talent now.
The managerless Saints are looking to bounce back from Ronald Koeman's departure to Everton, who along with Liverpool are also said to be keen.
Tottenham Hotspur, West Ham United and Manchester City are all reported to be interested in signing Nolito from Celta de Vigo in the summer transfer window.
Saido Berahino looks set to leave West Bromwich Albion this summer.
The Sunderland midfielder was impressive in the win over Belgium.
Sakho has been heavily linked with a move to Sunderland in recent weeks.
Leicester City are in negotiations to sign Swansea City’s Gylfi Sigurdsson.
Valdes had an unsuccessful spell at Manchester United but worked with Pep Guardiola at Barcelona with substantially more success.
Origi was a second-half substitute in Belgium's defeat to Italy.