The Hammers are certainly in the market for a new striker this summer, as Andy Carroll suffered from injury and fitness problems again last season, whilst question marks hang over the futures of Diafra Sakho and Enner Valencia after disappointing seasons.
A host of big-name strikers have been linked with moves to East London, and now it's claimed that Slaven Bilic's men could be looking to raid a Premier League rival.
Sky Sports report from their information in Italy that West Ham have been alerted to a possible deal for Southampton centre forward Graziano Pelle.
The 30-year-old, who followed Ronald Koeman from Feyenoord to Southampton in the summer of 2014, has hit 30 goals in his two seasons with the Saints.
Earlier this week, Pelle became a hero for Italy at Euro 2016 by scoring the clinching goal in a 2-0 win over Belgium, and speculation is surrounding his future on the South Coast.
Sky Sports claim that Pelle's former Feyenoord and Southampton boss Koeman is interested in taking the giant striker to Goodison Park having become Everton boss, but may face competition from West Ham.
Pelle may be seen as too similar to Carroll - tall, strong and great in the air - for West Ham fans to get behind, and they may prefer to see a player with more pace arrive at the Olympic Stadium instead..
Would you like to see West Ham sign Pelle?