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Tuesday’s Daily Express claims Everton are keen on signing Lyon forward Bertrand Traore.
The 23-year-old Burkina Faso international hit 11 goals in 48 appearances for the Ligue 1 side last season.
The Liverpool Echo speculates PSV Eindhoven attacker Hirving Lozano is also a transfer target for the Blues.
Serie A outfit Napoli are also rumoured to be lining up a move for the Mexican, who scored 21 times in 40 outings in 2018-19.
The Echo also reports defender Brendan Galloway could be set to complete a move to Championship side Luton Town.
The full-back, who joined Everton from MK Dons in 2014, has played a total of 21 first-team games for the Toffees.