The Hammers are desperate to sign a new left back before this month's transfer deadline, as first-choice Aaron Cresswell has suffered knee ligament damage and could be out for up to four months.
Norwich's Martin Olsson in action with Manchester United's Juan Mata
Having loaned Stephen Hendrie out to Blackburn Rovers, manager Slaven Bilic needs cover at left back after right back Sam Byram filled in against Domzale last week.
A host of left backs have been linked with moves to East London, but West Ham appear to be moving on from one of their top targets.
Norwich's Martin Olsson with manager Alex Neil
Norwich's Swedish international Martin Olsson is a top target for West Ham, but his agent Hakan Cetinkaya told Fotbollskanalen that Norwich continue to reject bids for him.
That stance from the Canaries appears to have put West Ham off, as the Daily Mail state that West Ham are losing interest in Olsson due to to Norwich standing firm with their £5m asking price.
Ex- Newcastle United man Davide Santon
Instead, West Ham are looking elsewhere – and it's claimed that new target Davide Santon wants a return to English football this summer having seen a move to Sunderland collapse last month.
The Inter Milan full back is a former Newcastle player and would allegedly relish a return to the Premier League; something West Ham can use to their advantage in the race for Santon's signature.
His ability to play at both right back and left back will be appealing to West Ham, and a concrete move for the 25-year-old could be coming in the near future.
Would you like to see West Ham sign Santon over Olsson?