Dear S.G.,
If he pays, it night mean he's thinking of it as a "date" date, rather than a mutual arrangement. Make sure that you are both on the same page.
You should probably try to pay your half of dinner, and if he insists then you should try at least once more. Or maybe compromise by offering to buy coffee/desert/drinks at the next stage of the evening.
Hospitality is a tricky thing, culturally. A Lebanese architect friend of mine was working with some German civil engineers. Work was running late, and one of the engineers offered my friend some cheese and crackers that he had on hand. My friend was very hungry but he declined, since in his culture you always decline the first offer, but the engineer didn't make a second offer.
Have fun.
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