The Hammers failed to get one of their central defense goals this summer and reportedly turned their backs on veteran Cherries of £8 million.
West Ham has signed twice this summer after shortly escaping relegation in the last quarter.
Right-back Vladimir Coufal has arrived on a million-pound contract with Slavia Prague.
And the loan from Tomas Soucek made permanent thanks to a clause included in the original deal that brought him to the London Stadium in January.
Cook, 29, is now on the Hammers’ radar at the Daily Star.
Bournemouth captain won the club’s season player name last year when the South Coast descended, and would be available for 8 million pounds.
The Englishman has played 341 games for Bournemouth since his arrival in 2012.
And he may be being re-in east London through his current teammate Josh King, for whom the Hammers are willing to pay between 12 and 17. 5 million pounds.
David Moyes hoped to build on the Hammers’ forged finale until last season, but he is the new crusade with fewer players.
Albian Ajeti, Jordan Hugill, Josh Cullen, Jack Wilshere and Felipe Anderson have left London Stadium.
And promising young star Grady Diangana has been sold to West Brom for $18 million, a move that has provoked the fury of disgruntled Hammers enthusiasts and Captain Mark Noble.
The Scot has also noticed that his club is continuously connected to the centrals, but is unable to protect one.
Wesley Fofana has joined Leicester City and the Hammers’ board of directors has refused to comply with the request of James Tarkowski of Burnley and Jonathan Tah of Bayer Leverkusen.
As Chelsea’s Fikayo Tomori withdrew from a last-minute, deadline loan deal, despite terms agreed through the clubs.
Earlier this year, Moyes spoke of his preference to form a young and hungry team at the Hammers after his tenure.
But despite the impressive impact of former Manchester United coach on the team’s results, it seems he will have to settle for older and less expensive arrivals, if not more.
The Hammers have been connected to Craig Dawson, 30, of Watford, who has been relegated.
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