I had my sovereign move on a quest location that had a battle the same turn that a technological breakthrough occured.  The sequence of events was very odd.  If I remember correctly this is what happened.

1) Had my sovereign (with unit) highlighted so I see her move onto the quest location

2) Technology breakthough occurs

3) Battle occurs

4) Picking new technology occured

Overall kind of disorienting and non-intuitive.  Personally I would like to have battles occur first (and of course fully complete) before being notified of other stuff.