West Ham have been offered Inter Milan misfits Matias Vecino and Valentino Lazaro on loan.
The Hammers are looking for a midfielder to play alongside Declan Rice and were sounded out about the possibility of taking Uruguay international Vecino.
But the player is in no hurry to leave Inter and he is currently not a priority for West Ham.
Austria international Lazaro is more of a wide player and also has interest from Newcastle and Werder Bremen.
Stoke City midfielder Joe Allen has long been on West Ham’s radar but it is understood the club are not currently targeting him.
Irons boss David Moyes comes up against former club Everton tomorrow, and he's eager to replicate his lengthy stay at Goodison during his second spell in east London.
"I spent 11-1/2 great years there, but everything now is geared towards West Ham," Moyes said ahead of the London Stadium clash.
"I would like to do something here, get regular top six or seven football... there's a similarity in the clubs."
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West Ham lost 1-0 at Sheffield United last weekend in their second league match under Moyes, who returned to replace Manuel Pellegrini after saving the east London club from the drop during a six-month stint in 2017-18.
West Ham are 16th in the table with 22 points from 21 games, just one point above the relegation zone, and Moyes said he needed more time to bed in his ideas.
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"One thing it is hard as a manager to ask for is time but I need that to put my design down, get players in and get them ready for where we're going to go," Moyes added.
"We need the crowd behind us, willing us on. We want to get better, continue making progress."