Albion drew 3-3 with star-studded Chelsea in an old-fashioned game of two halves on a brisk September evening at The Hawthorns.
Callum Robinson’s brilliant brace, combined with a Kyle Bartley volley, sent the Baggies into the break with a resounding advantage after a clinical first-half showing.
Strikes from Mason Mount and Callum Hudson-Odoi after half-time then pulled the Blues back into the contest before Tammy Abraham struck late to ensure a share of the spoils.
Bilić made one change to the team that played against Everton last weekend with Conor Townsend replacing the suspended Kieran Gibbs.
And - just like they did at Goodison - it was Albion who opened the scoring, this time inside four minutes.
Matheus Pereira was alert to intercept a loose Chelsea pass and give the ball to Robinson on the left, and the front man unleashed a powerful low shot across Willy Caballero and into the bottom corner to claim his first Premier League goal in blue and white.
The visitors went close to responding on the 12-minute mark when Abraham flashed over at the back post, and even closer shortly after when Timo Werner volleyed onto the crossbar.
Yet it was the Baggies who netted next - Robinson finding himself clean through and confidently slotting home to double his side’s lead.
Minutes later, incredibly, Albion extended their advantage even further. Darnell Furlong leapt above the Chelsea defence to flick Pereira’s whipped corner on, and Bartley made no mistake from close-range to spark stunned celebrations at The Hawthorns.
Frank Lampard’s team had plenty of the ball but rarely threatened Sam Johnstone before the interval, with the hosts soaking up the pressure and even creating a few more opportunities - Grady Diangana curling over and seeing a shot well blocked.
The Blues hauled themselves back into the contest 10 minutes after half-time as Mason Mount finished well from outside the area.
Johnstone then had to be at his best to deny Kai Havertz’s deflected attempt, but there was nothing he could do when Hudson-Odoi found space to slot Chelsea within one and set up a nervy final quarter.
Romaine Sawyers flashed an effort wide in a rare Albion attack with 15 minutes to go as Chelsea dominated possession in their search for an equaliser.
And the leveller came came just as the match edged into stoppage time, Abraham tucking the ball away from close-range after pinball in the box.
Albion: Johnstone, Ajayi, Bartley, O’Shea; Furlong, Livermore, Sawyers, Townsend; Pereira (Field 90), Robinson (Robson-Kanu 66), Diangana (Phillips 74).
Substitutes: Button, Kipré, Harper, Edwards.