The Hammers are on the brink of ensuring pinnacle spot in Group H with the intention to ebook their area within the ultimate sixteen, but needed Said Benrahma to score twice in Belgium to hold their unbeaten document in Europe.
In the 1,000th game of his managerial profession, David Moyes took the possibility to rest some of his key gamers ahead of Liverpool's go to to the London Stadium on Sunday and paid the fee with a slow start as Joseph Paintsil opened the scoring for Genk after simply four minutes.
Two of West Ham's regulars Michail Antonio and Declan Rice got here near equalising before half-time.
But it became no longer till the advent of Soucek, Pablo Fornals and Jarrod Bowen after the damage that they grew to become the game around.
Benrahma rounded off a amazing group circulate to equalise earlier than the use of his character ability to wriggle freed from the Genk defence and fireplace powerfully in on the near post.
However, the visitors dropped points for the primary time in the group when Soucek's diving header flew into his personal internet three mins from time.
West Ham's place inside the knockout levels might be confirmed afterward Thursday if there may be a winner within the clash between Dinamo Zagreb and Rapid Vienna.
Rangers nonetheless have masses of work to do to reach the last 32 after coming from at the back of to assert a point in Copenhagen.
Leon Balogun's own intention in first-half of stoppage time gave Steven Gerrard's men a mountain to climb.