Wolves pushed hard in the second half but could not find an equaliser this time.
Liverpool are already out of the EFL Cup and faces an FA Cup third-round replay with Wolverhampton Wanderers on Tuesday evening.
Erik ten Hag secured his first win as Manchester United manager with a 2-1 victory over Liverpool at Old Trafford.
Madrid responded minutes later after a great run from Federico Valverde down the right.
The Spanish side hopes to seal the arrival of the defensive midfielder in the next few hours.
Firmino doubled their advantage not long after coming on and Salah wrapped up an impressive first showing from the Reds.
However, Romano has confirmed that Daka has been signed by Leicester City on Tuesday morning.
Mbappe and his family already have an agreement with Los Blancos to make the move to the Spanish capital, his representative in France said.
The goalkeeper sealed a 2-1 victory for Liverpool at The Hawthorns on Sunday in the most sensational fashion.
Kyle Bartley saw his goal ruled out as the Baggies nearly caused an upset before Alisson’s late heroics.