Simone Zaza and Jonathan Calleri were both brought into the club during the last summer transfer window and both combine for just one goal and two monumental failures.
West Ham will enter the next transfer window in pursuit of at least two new strikers and have their eyes on one.
The 29-year-old striker has struck 11 goals for Hoffenheim this season in their bid to secure a place in Europe next season.
Wagner’s form has been noticed by the German national team who have included him in their squad for the Confederations Cup in the summer.
Anthony Modeste is another forward from the Bundesliga that the Hammers are said to he keeping tabs on but are pug off by Cologne’s excessive asking price.