Coach Steve McClaren's plans had already been hit by injuries to David Beckham and Kieron Dyer.
But minutes later the burly striker combined with Kieron Dyer on the right to send Domi through.
Kieron Dyer's fitness for the finals remains uncertain, however, and Eriksson has other injury concerns in his squad.
Midfielder Kieron Dyer suggests that in central defender Rio Ferdinand, England possess the best player in the world.
Robson brought on Kieron Dyer for Solano in an attempt to salvage a draw, but worse was to follow.
Nani's cool finish from Rooney's neat pass made it 2-0 while Kieron Dyer hit the post for winless West Ham.
Kieron Dyer will be given "until the last possible moment" to prove his fitness before Sven-Goran Eriksson names his final squad.
Newcastle midfielder Kieron Dyer's proposed move to West Ham collapsed this month because the clubs could not agree on a fee.
Ambrose, 19, completed the formalities of his move on Monday and will link up with former Ipswich favourites Kieron Dyer and Titus Bramble.
Florent Malouda went close as Chelsea dominated before Kieron Dyer was denied by Peter Cech and Diego Tristan's flick was cleared off the line.
Newcastle midfielders Kieron Dyer and Nicky Butt have also been troubled by injury problems which look likely to rule them out of the squad to be named on Thursday.
BBC: SPORT | Football | Internationals | Crouch nets England squad call-up
All the pressure though was on the bottom-of-the-table hosts with midfielder Scott Parker demanding improvement and Kieron Dyer uttering the words "doomed" and "fear" in the build-up to the match.
England are already missing a host of players, including Paul Robinson, John Terry, Wayne Bridge, Rio Ferdinand, Jamie Carragher, Ledley King, Steven Gerrard, Frank Lampard, Kieron Dyer and Wayne Rooney.
BBC: SPORT | Football | Internationals | Uncapped pair net England call-up
Kieron Dyer's pace down the right wing proved a menace to the Potters' defence, but with his fitness clearly still an issue, he failed to start the second half, giving way to Alessandro Diamanti.
Five other young uncapped players that catch the eye as the first signs of Hoddle's post-World Cup intentions are: Norwich winger Darren Eadie, Ipswich duo Richard Wright and Kieron Dyer, Newcastle signing Carl Serrant and Sheffield United's Wayne Quinn.
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