Le Havre's £9m-rated centre back Harold Moukoudi is attracting Premier League interest.
The Daily Mail says Burnley have made an enquiry for Moukoudi in recent days.
However, they face competition from West Ham for the 20-year-old.
Moukoudi, a France U19 international, has been a target for Arsenal in the recent past, though the Gunners have since moved onto other targets.
Clarets boss Sean Dyche is still waiting to make his first senior signing of the summer market.