“Great catching up with you the other day

”
Yes, it was good to put a voice to a face!
It is down to commonsense but you would be surprised how many people don't give it a second thought. Must admit it hadn't occurred to me either until my ex-employer started doing business in some "hot spots" around the world. About 3 years ago they didn't have a worthwhile travel policy covering not just costs but duty of care responsibilities as well. Also, a colleague had a car accident on way to office one morning. I was first person he called; not an experience I ever want to repeat. Whiplash injury, rebuilding front end of car took 12 weeks.
If you are working for another company then your trips should be recorded with them. Fairly simple information as Edinburgh isn't considered a hostile area yet. Date of travel/return, travel mode (flight number, train booking, travel insurance), accommodation details, etc. If you had an accident then the company would have fulfilled most of its duty of care responsibilities by keeping these records. The one grey area would be driving, as it's also a health & safety issue. However, company if advises against driving but you still chose to do it, then their duty of care responsibilities have been covered.
Something that my ex-employer hadn't realised, in advocating driving against other modes of transport, is the lost working time. You can work on a train or plane, but if driving alone then that's lost time to the business.