The 18-year old has caught the eye of many of Europe’s top clubs, with Sky Sports reporting on Liverpool and Chelsea’s interest in the talented midfielder.
The Hammers are believed to have sent scouts to watch the Portugal Under-21 star in action, but given the clubs that are said to be rivalling them for his signature – a deal seems unlikely.
Targeting Neves is a measure of West Ham’s newfound ambition and the deep-lying playmaker would be a welcome addition to any Premier League club.
He became Porto’s youngest ever captain when he stepped out against Maccabi Tel Aviv in the Champions League on Tuesday - an achievement that reflects just how highly thought of he is at the club.
Porto will not part with him easily however, and a recently signed contract extension - with a €40 million release clause (£29 million at today's rate) tying him down until June 2017 - will mean any prospective buyers will need to stump up a hefty fee.