Sources in Scotland claim Celtic are ready to do business on the Kenyan midfielder - but they want in excess of £10million for the 21-year-old.
Celtic signed Wanyama from Belgian signed Beerschot in 2011 for £900,000 - a story broken by Sky Sports.
But after two highly successful years at Celtic Park, interest is high in Wanyama.
Sources have now confirmed to Sky Sports that Southampton and Cardiff - both with substantial transfer budgets - are willing to test Celtic's resolve, whilst Turkish giants Galatasaray also have an active interest.
Stoke, Newcastle and Liverpool are also reported to be monitoring the situation.