The midfielder looks set to leave Celtic for the Premier League this summer.
Cardiff will increase their initial offer of £10 million for Celtic midfielder Victor Wanyama after their previous offer was rejected by the Scottish Champions, The Scotsman reports.
The Welsh club are also reported to have offered personal terms to the Kenyan and will hope that Celtic accept their new bid.
Southampton had a £12 million bid accepted by Celtic but were unable to come to an agreement with Wanyama over personal terms, meaning the midfielder has ruled out a move to St Mary’s.
Wanyama has been at Celtic for two years and was one of their top performers last season, helping the club into the second round of the Champions League and played a key role in retaining the clubs Scottish Premier League title.
The midfielder was exceptional during Celtic’s Champions League campaign, especially during the clubs 2-1 victory over Spanish giants Barcelona.
Wanyama’s excellent performances has led to a lot of interest from other clubs and the Kenyan will almost certainly leave this summer, with Cardiff now the front-runners for his signature.
Celtic have already resigned themselves to losing Wanyama and manager Neil Lennon has started planning for life without him next season.