But the Black Cats have already had two bids for Sakho turned down because they fell well short of the £15million the Hammers want.
Allardyce signed Sakho for the Hammers from Metz for £3.5million two years ago and he scored 12 times in 26 appearances in what was Big Sam’s final season in charge.
Now Sunderland boss Sam Allardyce signed Sakho for the Hammers
But last season was plagued with injury, and he found the back of the net just seven times in 24 games in what was Slaven Bilic’s first campaign as boss.
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But West Brom have joined the hunt and want to offer their unhappy former England under-21 man as part of a deal.
And the Baggies believe Bilic could be tempted, given he is on the lookout for adding more firepower to his attacking options.
West Ham boss Slaven Bilic is busy working on trying to get a new striker
Berahino, 22, who has a year left on his contract, has rejected a new offer worth more than £50,000 a week and made it clear he does not intend to change his mind.
Enner Valencia is on West Brom boss Tony Pulis’ shopping list.
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