TOMAS SOUCEK and Edson Alvarez produced the late double that left Sean Dyche shell-shocked.
Although if anyone within the Everton camp felt worse than the manager after those goals in added time, it can only have been Beto.
For, while he put the Toffees ahead, the £26million striker also wasted a first–half penalty when West Ham were there for the taking.
Ex-Everton boss David Moyes can hardly have fathomed how it was he left his old home with three points.
Apart from saving that Beto spot kick, goalkeeper Alphonse Areola also pulled off two worldies.
Soon, however, another former Toffee Kurt Zouma found a leveller… and his Hammers somehow found the rhythm and killer instinct that their opponents just don’t have.
A minute into added-time, Soucek controlled a Mohammed Kudus cross with his chest before zipping a brilliant strike with the outside of his right boot to claim an unlikely lead.
There were still seconds remaining of the five minutes that had been added when Alvarez scored his first Prem goal since last summer’s £35m entrance from Ajax, thanks to Jarrod Bowen’s sharp breakaway.
The most maddening aspect of it all for Dyche is that he left out No 1 striker Calvert-Lewin, without a goal in 20 games, for the Portuguese back–up man.
Yet ultimately that huge call blew up in his face.