Grammar – Around {at, in} the Middle of March: Correct Usage

It really just depends on the relationship between "narrative time" (that you're writing/speaking about), and "utterance time" (when the statement is actually made).

That's to say, if it's relevant now (at time of speaking) that you still don't cross paths, present tense don't is appropriate. But if you're reminiscing (perhaps decades later) about your schooldays, say, then it's all in the past - so you'd use didn't.

Not directly relevant, but idiomatically, "She refused meeting me" is extremely unlikely/ungainly here. It would normally be "She refused to meet me".

I met my boss yesterday.

Without elaboration, this implies that you met your boss for the first time.

I met my boss at Spago^* yesterday.

You had lunch or dinner with your boss. (It was not your first encounter.)

I met with my boss yesterday.

You got together with your boss for a specific purpose. It was likely to be a working meeting of some sort.

I'm meeting my friends tonight.

You're going out to have fun with your friends.

I'm meeting with my friends tonight.

You're getting together with friends for some shared purpose. It might be for fun, but the "with" is more likely to be used to suggest a special purpose to the meeting: planning, hobby, whatever.

^* Spago is an upscale restaurant, suitable for business luncheons or important dinners.