Crystal Palace are also said to be eyeing a move for Hamilton Academical midfielder Ronan Hughes.
Leicester City are reportedly interested in both Swansea City's Gylfi Sigurdsson and Middlesbrough's Ben Gibson.
Celtic's Dedryck Boyata was in talks with Anderlecht in January - and Kara Mbodji moving to Crystal Palace may jumpstart the deal.
Anderlecht's in-demand centre-back Kara Mbodji appears set on a Premier League move - though Crystal Palace have an advantage over Sunderland.
The Celtic defender is reportedly keen to hold talks today regarding his future with Brendan Rodgers' side, amid interest from Leicester City and now Southampton.
Lamine Kone has been linked with Everton since the summer and Sunderland's latest target could replace him in their starting XI.
Sunderland and Everton have also been linked with the Senegalese defender.
Sunderland are reportedly keen on Anderlecht defender Kara Mbodji.
A select round-up of the latest Everton transfer news...
The Senegalese defender has emerged as a cheap alternative to Kalidou Koulibaly.