The Uruguayan striker, scorer of 19 goals so far this season, went down in a tackle by Samuel Eto’o in the second half at Stamford Bridge moments after he also went to ground under pressure from John Terry.
Mourinho felt that Suarez was playing for a penalty as Blues ace Eden Hazard was denied a spot-kick himself when brought down by Lucas Leiva.
"I think there is another big case for a penalty on Hazard," he told Sky Sports. "Something is happening, week after week, I don't know why referees don't see it. He's a fair boy and I don't know why this is happening.
"On the other situation with Suarez I would resolve this differently with a yellow card for Luis Suarez. I keep saying I hate players trying to provoke situations. Luis is an amazing player and I have lots of respect for his quality and his attitude of trying to win every game but sometimes he tries too much.
"Eto'o just put his body in front of him. It looks like somebody shot him.
"He does everything to win and Brendan (Rodgers, the Liverpool manager) is doing a fantastic job on him because he's changed. There's no doubt that he's changed.
"But when the situation is like this and you are losing comes the nature of the player, the wild nature of the player or the cultural nature of the player.
"Culturally people from that area (South America), they like it. It's not also that area. There's a corner in Europe where I belong to, that they also like (diving)."
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