The Hammers have let Gianluca Scamacca leave this summer, while Michail Antonio is subject to interest from Saudi Arabia.
A new striker is on the agenda at the London Stadium and West Ham are assessing a number of possible options.
Their search has led to the Netherlands and Feyenoord, with enquiries made with both the club and the player’s camp, according to Dutch outlet 1908.
West Ham also went a step further and started to undertake extensive research about Gimenez, a key step before interest is then made concrete.
Feyenoord are not keen on selling the attacker, who is under contract until the summer of 2027.
However, West Ham have significant cash in the bank after several player sales and could tempt the Rotterdam side with a offer they cannot refuse.
Feyenoord snapped up the 22-year-old from Mexican side Cruz Azul in the summer of 2022 and he scored 23 goals last season.
