West Ham have reportedly been pursuing Tore for some time, but it appears as though Southampton could be a spanner in the works.
Celtic have been back in pre-season training for over a week now.
The former Tottenham Hotspur manager believes the ex-Spurs and Aston Villa boss could be a good choice as Roy Hodgson's replacement.
The Irishman had been tipped to reunite with Jimmy Floyd Hasselbaink at Loftus Road.
Glasgow Rangers goalkeeper Matt Gilks has played with Ibrox teammate Kenny Miller and West Bromwich Albion midfielder Darren Fletcher for Scotland.
Mane is close to completing his move to Liverpool.
Brendan Rodgers is anxious to have a full group of players to choose from once the Scottish Premiership commences.
West Ham United have been linked with the young Croatian.
Tottenham Hotspur have been linked with the AS Roma forward but he is not worth too much.
Leeds United have signed Marcus Antonsson from Kalmar FF in the summer transfer window.