should stop smoking; would stop smoking (in contexts expressing desire, advice, or recommendation)
Tom pediu para a Mary que parasse de fumar.
Tom asked Mary to stop smoking.
Eu fiz com que ele parasse de fumar.
I made him stop smoking.
O doutor me advertiu que parasse de fumar.
The doctor warned me to stop smoking.
Eu queria que o Tom parasse de fumar.
I wanted Tom to stop smoking.
O médico de Tom recomendou-lhe que parasse de fumar.
Tom's doctor recommended that he stop smoking.
O médico sugeriu que ele parasse de fumar.
The doctor suggested that he quit smoking.
O médico advertiu o meu pai para que parasse de fumar.
The doctor warned my father to stop smoking.