Despite welcoming Andy Carroll back into the first-team after a long injury lay-off, Sam Allardyce is still keen to bolster his attacking options before the end of next week after missing out on a loan deal for Lacina Traore – who is poised to join Everton.
Pelle has emerged as a target for the London club, with the burly Italian forward having been in excellent form in the Dutch top flight.
The 28-year-old hit a staggering 27 goals in 29 outings for Feyenoord last season, and has been just as sharp in front of the net this term with 14 league efforts to his name.
Rumours have linked him with the likes of Barcelona and Arsenal, but the two giants are unlikely to firm up their supposed interest.
This leaves the Hammers with a chance of snapping up the forward, who could play a pivotal role in keeping the club clear of relegation.
Pelle has previously played down talk of a January move, but he may be tempted if the Irons come calling, with Premier League exposure ahead of the World Cup likely to boost his chances of representing the Azzurri in Brazil.