The pair enjoyed a successful working relationship when Conte was in charge of Chelsea, winning the Premier League title and FA Cup.
But according to The Sun, that hasn't stopped Conte from trying to get his man.
The Italian has signed midfielders Nicola Barella and Arturo Vidal, yet, it is Kante who he wants the most.
It remains to be seen whether Chelsea would be tempted to sell the World Cup winner, who is turning 30 soon.
Real Madrid manager Zinedine Zidane is also a big fan of Kante.