Unattached trio John Mensah, Mikael Silvestre and Anthony Vanden Borre are all available on free transfers after leaving Lyon, Werder Bremen and Genk, respectively, in the summer.
All three have Premier League and international experience and their unattached status allows them to be signed after the official transfer deadline.
|5/1||West Ham are 5/1 with PaddyPower to concede two or more first-half goals against Norwich City|
"They have been training with us but there is no decision on whether we will be pursuing their services or not at this moment in time," the Hammers boss told Sky Sports.
The Irons added George McCartney and James Collins to their defence this summer, after letting Abdoulaye Faye and Julien Faubert go from their promotion-winning team.