With fourth place the prize for claiming the win, Kevin Mirallas' goal four minutes before half time in the Midlands seemingly put the Toffees on course for victory in what was a tight match with few chances.
Sadly the players struggled in the second half and sank further and further back as the game wore on.
West Brom weren't playing particularly well either, so it was just a case of which team would step it up and take charge of the game.
That team was West Brom.
Following good hold-up work by Victor Anichebe, James Morrison's drilled cross was headed home by Diego Lugano to draw the hosts level with just 15 minutes left.
The Baggies finished the game the stronger but in truth neither side deserved to pick up all three points. To make things worse both Seamus Coleman and Leon Osman picked up hamstring injuries to swell the club's injury list still further.
They now have five days to prepare for a tricky trip to Stevenage in the FA Cup before that huge game at Anfield on January 28th.