In Monday morning's Daily Mirror, the Hammers are reported to be on the trail of Manchester City and Slovakia U21 player Albert Rusnak, with other clubs said to be interested too.
The Times (£) carries speculation linking Cardiff City with Hammers midfielder Ravel Morrison, with the Daily Mail reporting that Matt Jarvis is interesting West Bromwich Albion.
According to The Sun (£), Tottenham full back Kyle Walker is facing a battle to be fit for the opening game of the campaign at the Boleyn Ground on Saturday.
Meanwhile, Sky Sports carries Dan Potts' whufc.com interview, in which the young full-back discusses his first team hopes.
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