Falar/Dizer

Ola pessoal!

I'm currently watching a crime documentary on Netflix about Elize Matsunaga and many times, she says: ELE FALOU to say HE SAID.

Yet, I'm a bit confused because I thought that it would be translated as ELE DISSE.

So, my question is: what is the best verb to use when you want to say "he/she said (that....)"?

Should I used DIZER or FALAR?

Obrigada pelo suas respostas!