Mourinho's Blues had 39 shots on goal against Big Sam's Hammers - but their failure to breach the visitors' back line meant vital points were dropped in their bid for the Premier League title.
As such, the Special One was visibly riled, claiming that West Ham's style of football was "from the 19th century" after the game.
It's very difficult to play a football match when only one team wants to play. A football match is about two teams playing," Mourinho said.
"I told Big Sam, they need points. To come here the way they did, is that acceptable? Maybe it is, they need points.
"This is not Premier League, this is not the best league in the world. This is football from the 19th century."
"The only thing I can bring more to win was a Black and Decker. A Black and Decker to destroy the wall."
A bullish Allardyce, though, was having none of it in his post-match press conference...
Allardyce laughing at Mourinho's comments: "He just can't take it! He Just can't take it! I knew he would [say that]!"— Miguel Delaney (@MiguelDelaney) January 29, 2014
Allardyce: "It's brilliant when you get a result against him! I love Chelsea moaning."— Miguel Delaney (@MiguelDelaney) January 29, 2014
Allardyce on Mourinho's claims, as he laughs: "I couldn't give a shite!"— Miguel Delaney (@MiguelDelaney) January 29, 2014
As Allardyce leaves: "Good old Jose, moaning again."— Miguel Delaney (@MiguelDelaney) January 29, 2014
Allardyce: "He can't take it can he. He can't take him because we've out-tacticed him, out-witted him. He just can't cope."— Miguel Delaney (@MiguelDelaney) January 29, 2014
Was Mourinho right to complain about West Ham's style of play?
image: © Ben Sutherland