The Hammers could offer £21 million for the Napoli forward.
The Hammers have been searching for a striker all summer but have largely been met with frustration in their attempts to sign one.
This week saw them secure a move for Swansea City forward Andre Ayew, but it appears that they are still in the hunt for another addition.
AC Milan striker Carlos Bacca has been at the top of their wish list for some time, but he has continually stalled on a move to the Olympic Stadium.
They could target someone else instead, and according to CalcioMercato, they have made an offer for Napoli’s Manolo Gabbiadini.
They report that they have proposed a deal of €25 million for his services, around £21 million.
There is no indication of whether the Italian side would be interested in a sale at that price or whether the player would be keen on the move.
He could be tempted by an offer of first team football, although there is every chance that he fancies his chances at the Serie A club following Gonzalo Higuain’s move to Juventus.