One particular area where the Chilean will want to improve is his centre-forward department, what with Andy Carroll's woeful record with injuries and Javier Hernandez's future in east London far from certain.
With this in mind, the Hammers should consider a summer swoop for Southampton ace Manolo Gabbiadini, who has been linked with an exit from St Mary's this summer, according to Italian media outlet Calcio Mercato.
The 26-year-old joined the Saints from Napoli in January 2017, for a fee believed to be worth in the region of £14 million, according to BBC Sport, and it is believed that the south coast outfit could accept a similar fee for his services this summer.
The Italian has scored 11 goals in 45 appearances for Southampton, but that record does not do him justice.
Gabbiadini is a superb finisher, and possesses exceptional technical ability. He would be a useful addition to West Ham's squad, and he would offer Pellegrini something entirely different in forward areas.
He does most of his work in and around the penalty area, and a move to the London Stadium could help breath fire back into his career in the Premier League.
The Southampton ace would be the ideal strike partner for Marko Arnautovic at West Ham, and if the Hammers could bring him to east London for just £14 million, it could turn out to be a real coup for them.
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