Looking on the internet deeply has found these results:

met him during a business trip is the most popular phrase on the web.

met him on business trip 10 results on the web	met him during a business trip 13 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
It doesn't look like this phrase is very popular! The search could not find any examples on the internet.	VERBHe recalled that he first met him during a business trip abroad.I believe we have met, sir, although you might not recall.remember; Brazilian Portuguese:�... VERBHe recalled that he first met him during a business trip abroad.I believe we have met, sir, although you might not recall.remember; Brazilian Portuguese:�... VERBHe recalled that he first met him during a business trip abroad.I believe we have met, sir, although you might not recall.remember; Brazilian Portuguese:�...

met him on business trip

10 results on the web

met him during a business trip

13 results on the web

More popular!

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

VERBHe recalled that he first met him during a business trip abroad.I believe we have met, sir, although you might not recall.remember; Brazilian Portuguese:�...
VERBHe recalled that he first met him during a business trip abroad.I believe we have met, sir, although you might not recall.remember; Brazilian Portuguese:�...
VERBHe recalled that he first met him during a business trip abroad.I believe we have met, sir, although you might not recall.remember; Brazilian Portuguese:�...