(Did you still want to see me? OR Do you still want to see me?)?

Question

In the american movies people usually say "Did" and they are talking in present so is "Did" a bad grammar or it's fine? and we can say both in present?

Answer 1

did is the past tense you would say Do for present and will for future

Answer 2

I've never noticed that, but 'do' is the present tense, and 'did' is the past.