The talented centre-back has entered the last 12 months of his contract and so far refused a new deal, prompting plenty of interest and a potential switch ahead of the summer transfer deadline.
According to a recent report in the Mirror, Sunderland are keen on a deal and were said to be leading to the race for his signature, with his agent drumming up a potential switch to England.
However, talk of a move to the Black Cats has quietened over the past few days and a fresh report from France claims Trabzonspor have tabled an improved bid for his services.
“Trabzonspor sent an offer for Djilobodji in early August, but now they’ve gone further. The second proposal now exceeds £1.45 million, but Nantes still intends to negotiate for more,” L’Equipe say.
Should Sunderland make a move for Papy Djilobodji?
If there is anything that can be learnt from Sunderland’s opening two games, it is that they lack quality and composure at the back - as they have shipped seven goals in quite a woeful manner.
Djilobodji is highly-rated in France, with the report in the Mirror also crediting West Bromwich Albion with holding an interest, as boss Tony Pulis has also been impressed by the defender.
At 26, he is at an ideal age to move to the Premier League and Sunderland should consider the fact that their team is not particularly young, with a number of stars pushing 30.
The Senegalese-born stopper averaged 3.3 interceptions and 8.3 effective clearances per Ligue 1 encounter last season, impressive stats which far better the Sunderland defence so far this season.