Hlozek has contributed five goals and six assists in the Czech top-flight so far this season, whilst he also netted against Lille in his sole Europa League appearance earlier this term.
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The Hammers are looking to bolster their attacking options now that they have a real chance of European football next season.
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The Hammers will be hoping that the relationship — both personal and professional — with Soucek, as well as another compatriot in Vladimir Coufal can help them win the race for Hlozek.