The Hammers are currently enduring an injury crisis in defence, with James Collins, Winston Reid and Carl Jenkinson all sidelined right now.
On deadline day, Sam Allardyce's men were linked with a host of central defenders, including Marseille's Doria, Everton's Sylvain Distin and Tottenham's Younes Kaboul in a valiant attempt to reinforce the backline.
None of those players arrived, and the Mirror believe that West Ham also failed in a bid to sign Genk's Senegalese international Kara Mbodj.
Mbodj, 25, spent almost three years with Norwegian side Tromso before making the move to Belgium with Genk, and his impressive displays in both countries have led to 15 caps for the Senegal national team.
The huge powerhouse can play at either centre back or in defensive midfield, and his versatility was likely a big draw for Allardyce in his pursuit of Mbodj.
Whilst his initial bid failed according to The Mirror, they also report that West Ham will renew their interest in the summer transfer window.
Hammers star Reid is out of contract at the end of this season, and will need to be replaced at Upton Park - and it could well be Kara who takes his place if West Ham get their way.